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Finding the Fourth Proportional to 497,058.39, 745,531.75 and 137,280.39

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Solution

The fourth proportional to 497,058.39, 745,531.75 and 137,280.39 is: 205,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,058.39 : 745,531.75 = 137,280.39 : x
  2. Step 2: Convert to fraction form
    497,058.39/745,531.75 = 137,280.39/x
  3. Step 3: Cross multiply
    497,058.39x = 745,531.75 × 137,280.39
  4. Step 4: Simplify right side
    497,058.39x = 102,346,890,194.65
  5. Step 5: Solve for x
    x = 102,346,890,194.65/497,058.39
  6. Step 6: Final answer
    x = 205,905.17

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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.