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Finding the Fourth Proportional to 261,915.91, 392,876.34 and 143,522.62

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Solution

The fourth proportional to 261,915.91, 392,876.34 and 143,522.62 is: 215,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,915.91 : 392,876.34 = 143,522.62 : x
  2. Step 2: Convert to fraction form
    261,915.91/392,876.34 = 143,522.62/x
  3. Step 3: Cross multiply
    261,915.91x = 392,876.34 × 143,522.62
  4. Step 4: Simplify right side
    261,915.91x = 56,386,641,652.81
  5. Step 5: Solve for x
    x = 56,386,641,652.81/261,915.91
  6. Step 6: Final answer
    x = 215,285.29

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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.