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Finding the Fourth Proportional to 258,630.78, 387,946.14 and 71,642.28

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Solution

The fourth proportional to 258,630.78, 387,946.14 and 71,642.28 is: 107,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,630.78 : 387,946.14 = 71,642.28 : x
  2. Step 2: Convert to fraction form
    258,630.78/387,946.14 = 71,642.28/x
  3. Step 3: Cross multiply
    258,630.78x = 387,946.14 × 71,642.28
  4. Step 4: Simplify right side
    258,630.78x = 27,793,345,986.80
  5. Step 5: Solve for x
    x = 27,793,345,986.80/258,630.78
  6. Step 6: Final answer
    x = 107,463.41

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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.