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Finding the Fourth Proportional to 542,945.70, 814,556.88 and 383,332.55

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Solution

The fourth proportional to 542,945.70, 814,556.88 and 383,332.55 is: 575,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,945.70 : 814,556.88 = 383,332.55 : x
  2. Step 2: Convert to fraction form
    542,945.70/814,556.88 = 383,332.55/x
  3. Step 3: Cross multiply
    542,945.70x = 814,556.88 × 383,332.55
  4. Step 4: Simplify right side
    542,945.70x = 312,246,161,857.66
  5. Step 5: Solve for x
    x = 312,246,161,857.66/542,945.70
  6. Step 6: Final answer
    x = 575,096.48

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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.