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Finding the Fourth Proportional to 499,430,812.40, 749,146,218.60 and 499,430,812.40

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Solution

The fourth proportional to 499,430,812.40, 749,146,218.60 and 499,430,812.40 is: 749,146,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,430,812.40 : 749,146,218.60 = 499,430,812.40 : x
  2. Step 2: Convert to fraction form
    499,430,812.40/749,146,218.60 = 499,430,812.40/x
  3. Step 3: Cross multiply
    499,430,812.40x = 749,146,218.60 × 499,430,812.40
  4. Step 4: Simplify right side
    499,430,812.40x = 374,146,704,561,785,984
  5. Step 5: Solve for x
    x = 374,146,704,561,785,984/499,430,812.40
  6. Step 6: Final answer
    x = 749,146,218.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.