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Finding the Fourth Proportional to 357,378,300.80, 499,309,254.40 and 357,378,300.80

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Solution

The fourth proportional to 357,378,300.80, 499,309,254.40 and 357,378,300.80 is: 499,309,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,378,300.80 : 499,309,254.40 = 357,378,300.80 : x
  2. Step 2: Convert to fraction form
    357,378,300.80/499,309,254.40 = 357,378,300.80/x
  3. Step 3: Cross multiply
    357,378,300.80x = 499,309,254.40 × 357,378,300.80
  4. Step 4: Simplify right side
    357,378,300.80x = 178,442,292,911,186,912
  5. Step 5: Solve for x
    x = 178,442,292,911,186,912/357,378,300.80
  6. Step 6: Final answer
    x = 499,309,254.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.