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Finding the Fourth Proportional to 458,142, 632,305.08 and 279,397.68

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Solution

The fourth proportional to 458,142, 632,305.08 and 279,397.68 is: 385,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,142 : 632,305.08 = 279,397.68 : x
  2. Step 2: Convert to fraction form
    458,142/632,305.08 = 279,397.68/x
  3. Step 3: Cross multiply
    458,142x = 632,305.08 × 279,397.68
  4. Step 4: Simplify right side
    458,142x = 176,664,572,404.21
  5. Step 5: Solve for x
    x = 176,664,572,404.21/458,142
  6. Step 6: Final answer
    x = 385,610.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.