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Finding the Fourth Proportional to 402,649.31, 555,641.89 and 221,359.92

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Solution

The fourth proportional to 402,649.31, 555,641.89 and 221,359.92 is: 305,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,649.31 : 555,641.89 = 221,359.92 : x
  2. Step 2: Convert to fraction form
    402,649.31/555,641.89 = 221,359.92/x
  3. Step 3: Cross multiply
    402,649.31x = 555,641.89 × 221,359.92
  4. Step 4: Simplify right side
    402,649.31x = 122,996,846,052.63
  5. Step 5: Solve for x
    x = 122,996,846,052.63/402,649.31
  6. Step 6: Final answer
    x = 305,468.91

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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.