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Finding the Fourth Proportional to 638,233,978.86, 955,387,432.22 and 416,427,716.21

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Solution

The fourth proportional to 638,233,978.86, 955,387,432.22 and 416,427,716.21 is: 623,360,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,233,978.86 : 955,387,432.22 = 416,427,716.21 : x
  2. Step 2: Convert to fraction form
    638,233,978.86/955,387,432.22 = 416,427,716.21/x
  3. Step 3: Cross multiply
    638,233,978.86x = 955,387,432.22 × 416,427,716.21
  4. Step 4: Simplify right side
    638,233,978.86x = 397,849,806,488,251,712
  5. Step 5: Solve for x
    x = 397,849,806,488,251,712/638,233,978.86
  6. Step 6: Final answer
    x = 623,360,428.41

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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.