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Finding the Fourth Proportional to 343,013.90, 514,520.85 and 156,025.40

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Solution

The fourth proportional to 343,013.90, 514,520.85 and 156,025.40 is: 234,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,013.90 : 514,520.85 = 156,025.40 : x
  2. Step 2: Convert to fraction form
    343,013.90/514,520.85 = 156,025.40/x
  3. Step 3: Cross multiply
    343,013.90x = 514,520.85 × 156,025.40
  4. Step 4: Simplify right side
    343,013.90x = 80,278,321,429.59
  5. Step 5: Solve for x
    x = 80,278,321,429.59/343,013.90
  6. Step 6: Final answer
    x = 234,038.10

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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.