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Finding the Fourth Proportional to 286,591.60, 429,231.78 and 136,937.08

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Solution

The fourth proportional to 286,591.60, 429,231.78 and 136,937.08 is: 205,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,591.60 : 429,231.78 = 136,937.08 : x
  2. Step 2: Convert to fraction form
    286,591.60/429,231.78 = 136,937.08/x
  3. Step 3: Cross multiply
    286,591.60x = 429,231.78 × 136,937.08
  4. Step 4: Simplify right side
    286,591.60x = 58,777,746,596.40
  5. Step 5: Solve for x
    x = 58,777,746,596.40/286,591.60
  6. Step 6: Final answer
    x = 205,092.36

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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.