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Finding the Fourth Proportional to 402,579.92, 555,468.36 and 232,783.76

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Solution

The fourth proportional to 402,579.92, 555,468.36 and 232,783.76 is: 321,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,579.92 : 555,468.36 = 232,783.76 : x
  2. Step 2: Convert to fraction form
    402,579.92/555,468.36 = 232,783.76/x
  3. Step 3: Cross multiply
    402,579.92x = 555,468.36 × 232,783.76
  4. Step 4: Simplify right side
    402,579.92x = 129,304,013,401.83
  5. Step 5: Solve for x
    x = 129,304,013,401.83/402,579.92
  6. Step 6: Final answer
    x = 321,188.43

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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.