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Finding the Fourth Proportional to 542,110.20, 812,582.10 and 205,020.60

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Solution

The fourth proportional to 542,110.20, 812,582.10 and 205,020.60 is: 307,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,110.20 : 812,582.10 = 205,020.60 : x
  2. Step 2: Convert to fraction form
    542,110.20/812,582.10 = 205,020.60/x
  3. Step 3: Cross multiply
    542,110.20x = 812,582.10 × 205,020.60
  4. Step 4: Simplify right side
    542,110.20x = 166,596,069,691.26
  5. Step 5: Solve for x
    x = 166,596,069,691.26/542,110.20
  6. Step 6: Final answer
    x = 307,310.34

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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.