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Finding the Fourth Proportional to 325,374.80, 488,269.56 and 138,386

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Solution

The fourth proportional to 325,374.80, 488,269.56 and 138,386 is: 207,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,374.80 : 488,269.56 = 138,386 : x
  2. Step 2: Convert to fraction form
    325,374.80/488,269.56 = 138,386/x
  3. Step 3: Cross multiply
    325,374.80x = 488,269.56 × 138,386
  4. Step 4: Simplify right side
    325,374.80x = 67,569,671,330.16
  5. Step 5: Solve for x
    x = 67,569,671,330.16/325,374.80
  6. Step 6: Final answer
    x = 207,667.19

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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.