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Finding the Fourth Proportional to 458,510.41, 687,018.52 and 280,644.13

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Solution

The fourth proportional to 458,510.41, 687,018.52 and 280,644.13 is: 420,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,510.41 : 687,018.52 = 280,644.13 : x
  2. Step 2: Convert to fraction form
    458,510.41/687,018.52 = 280,644.13/x
  3. Step 3: Cross multiply
    458,510.41x = 687,018.52 × 280,644.13
  4. Step 4: Simplify right side
    458,510.41x = 192,807,714,839.29
  5. Step 5: Solve for x
    x = 192,807,714,839.29/458,510.41
  6. Step 6: Final answer
    x = 420,508.91

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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.