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Finding the Fourth Proportional to 636,729.84, 878,393.16 and 381,638.16

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Solution

The fourth proportional to 636,729.84, 878,393.16 and 381,638.16 is: 526,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,729.84 : 878,393.16 = 381,638.16 : x
  2. Step 2: Convert to fraction form
    636,729.84/878,393.16 = 381,638.16/x
  3. Step 3: Cross multiply
    636,729.84x = 878,393.16 × 381,638.16
  4. Step 4: Simplify right side
    636,729.84x = 335,228,349,338.99
  5. Step 5: Solve for x
    x = 335,228,349,338.99/636,729.84
  6. Step 6: Final answer
    x = 526,484.43

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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.