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Finding the Fourth Proportional to 614,013.61, 921,020.43 and 187,532.21

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Solution

The fourth proportional to 614,013.61, 921,020.43 and 187,532.21 is: 281,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,013.61 : 921,020.43 = 187,532.21 : x
  2. Step 2: Convert to fraction form
    614,013.61/921,020.43 = 187,532.21/x
  3. Step 3: Cross multiply
    614,013.61x = 921,020.43 × 187,532.21
  4. Step 4: Simplify right side
    614,013.61x = 172,720,996,693.05
  5. Step 5: Solve for x
    x = 172,720,996,693.05/614,013.61
  6. Step 6: Final answer
    x = 281,298.32

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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.