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Finding the Fourth Proportional to 347,695.80, 521,543.70 and 137,225.40

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Solution

The fourth proportional to 347,695.80, 521,543.70 and 137,225.40 is: 205,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,695.80 : 521,543.70 = 137,225.40 : x
  2. Step 2: Convert to fraction form
    347,695.80/521,543.70 = 137,225.40/x
  3. Step 3: Cross multiply
    347,695.80x = 521,543.70 × 137,225.40
  4. Step 4: Simplify right side
    347,695.80x = 71,569,042,849.98
  5. Step 5: Solve for x
    x = 71,569,042,849.98/347,695.80
  6. Step 6: Final answer
    x = 205,838.10

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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.