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Finding the Fourth Proportional to 421,805.76, 635,642.98 and 381,836.88

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Solution

The fourth proportional to 421,805.76, 635,642.98 and 381,836.88 is: 575,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,805.76 : 635,642.98 = 381,836.88 : x
  2. Step 2: Convert to fraction form
    421,805.76/635,642.98 = 381,836.88/x
  3. Step 3: Cross multiply
    421,805.76x = 635,642.98 × 381,836.88
  4. Step 4: Simplify right side
    421,805.76x = 242,711,932,277.10
  5. Step 5: Solve for x
    x = 242,711,932,277.10/421,805.76
  6. Step 6: Final answer
    x = 575,411.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.