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Finding the Fourth Proportional to 542,042.24, 813,808.16 and 275,981.54

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Solution

The fourth proportional to 542,042.24, 813,808.16 and 275,981.54 is: 414,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,042.24 : 813,808.16 = 275,981.54 : x
  2. Step 2: Convert to fraction form
    542,042.24/813,808.16 = 275,981.54/x
  3. Step 3: Cross multiply
    542,042.24x = 813,808.16 × 275,981.54
  4. Step 4: Simplify right side
    542,042.24x = 224,596,023,812.42
  5. Step 5: Solve for x
    x = 224,596,023,812.42/542,042.24
  6. Step 6: Final answer
    x = 414,351.52

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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.