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Finding the Fourth Proportional to 542,802.68, 814,277.94 and 187,721.40

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Solution

The fourth proportional to 542,802.68, 814,277.94 and 187,721.40 is: 281,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,802.68 : 814,277.94 = 187,721.40 : x
  2. Step 2: Convert to fraction form
    542,802.68/814,277.94 = 187,721.40/x
  3. Step 3: Cross multiply
    542,802.68x = 814,277.94 × 187,721.40
  4. Step 4: Simplify right side
    542,802.68x = 152,857,394,885.92
  5. Step 5: Solve for x
    x = 152,857,394,885.92/542,802.68
  6. Step 6: Final answer
    x = 281,607.66

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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.