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Finding the Fourth Proportional to 274,937.86, 411,869.89 and 130,638.30

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Solution

The fourth proportional to 274,937.86, 411,869.89 and 130,638.30 is: 195,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,937.86 : 411,869.89 = 130,638.30 : x
  2. Step 2: Convert to fraction form
    274,937.86/411,869.89 = 130,638.30/x
  3. Step 3: Cross multiply
    274,937.86x = 411,869.89 × 130,638.30
  4. Step 4: Simplify right side
    274,937.86x = 53,805,982,250.79
  5. Step 5: Solve for x
    x = 53,805,982,250.79/274,937.86
  6. Step 6: Final answer
    x = 195,702.34

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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.