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Finding the Fourth Proportional to 542,706.70, 814,098.92 and 143,343.49

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Solution

The fourth proportional to 542,706.70, 814,098.92 and 143,343.49 is: 215,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,706.70 : 814,098.92 = 143,343.49 : x
  2. Step 2: Convert to fraction form
    542,706.70/814,098.92 = 143,343.49/x
  3. Step 3: Cross multiply
    542,706.70x = 814,098.92 × 143,343.49
  4. Step 4: Simplify right side
    542,706.70x = 116,695,779,681.31
  5. Step 5: Solve for x
    x = 116,695,779,681.31/542,706.70
  6. Step 6: Final answer
    x = 215,025.50

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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.