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Finding the Fourth Proportional to 542,207.20, 812,727.60 and 205,117.60

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Solution

The fourth proportional to 542,207.20, 812,727.60 and 205,117.60 is: 307,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,207.20 : 812,727.60 = 205,117.60 : x
  2. Step 2: Convert to fraction form
    542,207.20/812,727.60 = 205,117.60/x
  3. Step 3: Cross multiply
    542,207.20x = 812,727.60 × 205,117.60
  4. Step 4: Simplify right side
    542,207.20x = 166,704,734,765.76
  5. Step 5: Solve for x
    x = 166,704,734,765.76/542,207.20
  6. Step 6: Final answer
    x = 307,455.77

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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.