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Finding the Fourth Proportional to 542,502.20, 813,170.10 and 205,412.60

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Solution

The fourth proportional to 542,502.20, 813,170.10 and 205,412.60 is: 307,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,502.20 : 813,170.10 = 205,412.60 : x
  2. Step 2: Convert to fraction form
    542,502.20/813,170.10 = 205,412.60/x
  3. Step 3: Cross multiply
    542,502.20x = 813,170.10 × 205,412.60
  4. Step 4: Simplify right side
    542,502.20x = 167,035,384,483.26
  5. Step 5: Solve for x
    x = 167,035,384,483.26/542,502.20
  6. Step 6: Final answer
    x = 307,898.08

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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.