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Finding the Fourth Proportional to 286,498, 429,747 and 89,506

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Solution

The fourth proportional to 286,498, 429,747 and 89,506 is: 134,259

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,498 : 429,747 = 89,506 : x
  2. Step 2: Convert to fraction form
    286,498/429,747 = 89,506/x
  3. Step 3: Cross multiply
    286,498x = 429,747 × 89,506
  4. Step 4: Simplify right side
    286,498x = 38,464,934,982
  5. Step 5: Solve for x
    x = 38,464,934,982/286,498
  6. Step 6: Final answer
    x = 134,259

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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.