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Finding the Fourth Proportional to 391,810,642.86, 587,715,876.81 and 142,834,565.88

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Solution

The fourth proportional to 391,810,642.86, 587,715,876.81 and 142,834,565.88 is: 214,251,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,810,642.86 : 587,715,876.81 = 142,834,565.88 : x
  2. Step 2: Convert to fraction form
    391,810,642.86/587,715,876.81 = 142,834,565.88/x
  3. Step 3: Cross multiply
    391,810,642.86x = 587,715,876.81 × 142,834,565.88
  4. Step 4: Simplify right side
    391,810,642.86x = 83,946,142,124,939,904
  5. Step 5: Solve for x
    x = 83,946,142,124,939,904/391,810,642.86
  6. Step 6: Final answer
    x = 214,251,816.93

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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.