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Finding the Fourth Proportional to 402,851.32, 555,923.10 and 221,562.52

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Solution

The fourth proportional to 402,851.32, 555,923.10 and 221,562.52 is: 305,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,851.32 : 555,923.10 = 221,562.52 : x
  2. Step 2: Convert to fraction form
    402,851.32/555,923.10 = 221,562.52/x
  3. Step 3: Cross multiply
    402,851.32x = 555,923.10 × 221,562.52
  4. Step 4: Simplify right side
    402,851.32x = 123,171,722,962.21
  5. Step 5: Solve for x
    x = 123,171,722,962.21/402,851.32
  6. Step 6: Final answer
    x = 305,749.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.