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Finding the Fourth Proportional to 286,275.88, 429,428.85 and 86,591.17

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Solution

The fourth proportional to 286,275.88, 429,428.85 and 86,591.17 is: 129,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,275.88 : 429,428.85 = 86,591.17 : x
  2. Step 2: Convert to fraction form
    286,275.88/429,428.85 = 86,591.17/x
  3. Step 3: Cross multiply
    286,275.88x = 429,428.85 × 86,591.17
  4. Step 4: Simplify right side
    286,275.88x = 37,184,746,553.25
  5. Step 5: Solve for x
    x = 37,184,746,553.25/286,275.88
  6. Step 6: Final answer
    x = 129,891.30

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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.