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Finding the Fourth Proportional to 513,282.38, 769,915.10 and 153,454.08

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Solution

The fourth proportional to 513,282.38, 769,915.10 and 153,454.08 is: 230,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,282.38 : 769,915.10 = 153,454.08 : x
  2. Step 2: Convert to fraction form
    513,282.38/769,915.10 = 153,454.08/x
  3. Step 3: Cross multiply
    513,282.38x = 769,915.10 × 153,454.08
  4. Step 4: Simplify right side
    513,282.38x = 118,146,613,348.61
  5. Step 5: Solve for x
    x = 118,146,613,348.61/513,282.38
  6. Step 6: Final answer
    x = 230,178.59

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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.