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Finding the Fourth Proportional to 387,344.25, 581,038.25 and 138,026.25

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Solution

The fourth proportional to 387,344.25, 581,038.25 and 138,026.25 is: 207,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,344.25 : 581,038.25 = 138,026.25 : x
  2. Step 2: Convert to fraction form
    387,344.25/581,038.25 = 138,026.25/x
  3. Step 3: Cross multiply
    387,344.25x = 581,038.25 × 138,026.25
  4. Step 4: Simplify right side
    387,344.25x = 80,198,530,063.93
  5. Step 5: Solve for x
    x = 80,198,530,063.93/387,344.25
  6. Step 6: Final answer
    x = 207,047.17

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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.