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Finding the Fourth Proportional to 402,805.95, 555,861.12 and 221,517.88

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Solution

The fourth proportional to 402,805.95, 555,861.12 and 221,517.88 is: 305,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,805.95 : 555,861.12 = 221,517.88 : x
  2. Step 2: Convert to fraction form
    402,805.95/555,861.12 = 221,517.88/x
  3. Step 3: Cross multiply
    402,805.95x = 555,861.12 × 221,517.88
  4. Step 4: Simplify right side
    402,805.95x = 123,133,176,876.83
  5. Step 5: Solve for x
    x = 123,133,176,876.83/402,805.95
  6. Step 6: Final answer
    x = 305,688.58

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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.