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Finding the Fourth Proportional to 348,407.70, 522,481.95 and 138,002.10

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Solution

The fourth proportional to 348,407.70, 522,481.95 and 138,002.10 is: 206,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,407.70 : 522,481.95 = 138,002.10 : x
  2. Step 2: Convert to fraction form
    348,407.70/522,481.95 = 138,002.10/x
  3. Step 3: Cross multiply
    348,407.70x = 522,481.95 × 138,002.10
  4. Step 4: Simplify right side
    348,407.70x = 72,103,606,312.10
  5. Step 5: Solve for x
    x = 72,103,606,312.10/348,407.70
  6. Step 6: Final answer
    x = 206,951.82

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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.