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Finding the Fourth Proportional to 287,767.26, 431,690.28 and 98,176.71

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Solution

The fourth proportional to 287,767.26, 431,690.28 and 98,176.71 is: 147,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,767.26 : 431,690.28 = 98,176.71 : x
  2. Step 2: Convert to fraction form
    287,767.26/431,690.28 = 98,176.71/x
  3. Step 3: Cross multiply
    287,767.26x = 431,690.28 × 98,176.71
  4. Step 4: Simplify right side
    287,767.26x = 42,381,931,429.38
  5. Step 5: Solve for x
    x = 42,381,931,429.38/287,767.26
  6. Step 6: Final answer
    x = 147,278.50

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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.