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Finding the Fourth Proportional to 542,140.49, 813,105.59 and 205,207.45

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Solution

The fourth proportional to 542,140.49, 813,105.59 and 205,207.45 is: 307,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,140.49 : 813,105.59 = 205,207.45 : x
  2. Step 2: Convert to fraction form
    542,140.49/813,105.59 = 205,207.45/x
  3. Step 3: Cross multiply
    542,140.49x = 813,105.59 × 205,207.45
  4. Step 4: Simplify right side
    542,140.49x = 166,855,319,613.08
  5. Step 5: Solve for x
    x = 166,855,319,613.08/542,140.49
  6. Step 6: Final answer
    x = 307,771.37

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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.