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Finding the Fourth Proportional to 499,265.60, 748,901.60 and 199,771.20

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Solution

The fourth proportional to 499,265.60, 748,901.60 and 199,771.20 is: 299,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,265.60 : 748,901.60 = 199,771.20 : x
  2. Step 2: Convert to fraction form
    499,265.60/748,901.60 = 199,771.20/x
  3. Step 3: Cross multiply
    499,265.60x = 748,901.60 × 199,771.20
  4. Step 4: Simplify right side
    499,265.60x = 149,608,971,313.92
  5. Step 5: Solve for x
    x = 149,608,971,313.92/499,265.60
  6. Step 6: Final answer
    x = 299,658.08

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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.