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Finding the Fourth Proportional to 458,772.66, 687,780.13 and 202,422.72

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Solution

The fourth proportional to 458,772.66, 687,780.13 and 202,422.72 is: 303,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,772.66 : 687,780.13 = 202,422.72 : x
  2. Step 2: Convert to fraction form
    458,772.66/687,780.13 = 202,422.72/x
  3. Step 3: Cross multiply
    458,772.66x = 687,780.13 × 202,422.72
  4. Step 4: Simplify right side
    458,772.66x = 139,222,324,340.86
  5. Step 5: Solve for x
    x = 139,222,324,340.86/458,772.66
  6. Step 6: Final answer
    x = 303,466.92

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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.