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Finding the Fourth Proportional to 347,898.60, 522,020.70 and 137,543.40

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Solution

The fourth proportional to 347,898.60, 522,020.70 and 137,543.40 is: 206,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,898.60 : 522,020.70 = 137,543.40 : x
  2. Step 2: Convert to fraction form
    347,898.60/522,020.70 = 137,543.40/x
  3. Step 3: Cross multiply
    347,898.60x = 522,020.70 × 137,543.40
  4. Step 4: Simplify right side
    347,898.60x = 71,800,501,948.38
  5. Step 5: Solve for x
    x = 71,800,501,948.38/347,898.60
  6. Step 6: Final answer
    x = 206,383.42

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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.