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Finding the Fourth Proportional to 286,656,575.60, 429,984,863.40 and 157,214,169.20

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Solution

The fourth proportional to 286,656,575.60, 429,984,863.40 and 157,214,169.20 is: 235,821,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,656,575.60 : 429,984,863.40 = 157,214,169.20 : x
  2. Step 2: Convert to fraction form
    286,656,575.60/429,984,863.40 = 157,214,169.20/x
  3. Step 3: Cross multiply
    286,656,575.60x = 429,984,863.40 × 157,214,169.20
  4. Step 4: Simplify right side
    286,656,575.60x = 67,599,713,068,006,480
  5. Step 5: Solve for x
    x = 67,599,713,068,006,480/286,656,575.60
  6. Step 6: Final answer
    x = 235,821,253.80

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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.