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Finding the Fourth Proportional to 518,538,695.68, 778,063,407.64 and 242,149,740.71

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Solution

The fourth proportional to 518,538,695.68, 778,063,407.64 and 242,149,740.71 is: 363,343,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,538,695.68 : 778,063,407.64 = 242,149,740.71 : x
  2. Step 2: Convert to fraction form
    518,538,695.68/778,063,407.64 = 242,149,740.71/x
  3. Step 3: Cross multiply
    518,538,695.68x = 778,063,407.64 × 242,149,740.71
  4. Step 4: Simplify right side
    518,538,695.68x = 188,407,852,414,069,632
  5. Step 5: Solve for x
    x = 188,407,852,414,069,632/518,538,695.68
  6. Step 6: Final answer
    x = 363,343,862.25

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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.