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Finding the Fourth Proportional to 286,274.13, 429,411.19 and 89,282.13

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Solution

The fourth proportional to 286,274.13, 429,411.19 and 89,282.13 is: 133,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,274.13 : 429,411.19 = 89,282.13 : x
  2. Step 2: Convert to fraction form
    286,274.13/429,411.19 = 89,282.13/x
  3. Step 3: Cross multiply
    286,274.13x = 429,411.19 × 89,282.13
  4. Step 4: Simplify right side
    286,274.13x = 38,338,745,689.03
  5. Step 5: Solve for x
    x = 38,338,745,689.03/286,274.13
  6. Step 6: Final answer
    x = 133,923.19

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Similar ratio
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1.5x scale

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.