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Finding the Fourth Proportional to 680,227,739.33, 938,711,978.10 and 382,869,809.24

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Solution

The fourth proportional to 680,227,739.33, 938,711,978.10 and 382,869,809.24 is: 528,359,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,227,739.33 : 938,711,978.10 = 382,869,809.24 : x
  2. Step 2: Convert to fraction form
    680,227,739.33/938,711,978.10 = 382,869,809.24/x
  3. Step 3: Cross multiply
    680,227,739.33x = 938,711,978.10 × 382,869,809.24
  4. Step 4: Simplify right side
    680,227,739.33x = 359,404,475,981,756,544
  5. Step 5: Solve for x
    x = 359,404,475,981,756,544/680,227,739.33
  6. Step 6: Final answer
    x = 528,359,040.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.