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Finding the Fourth Proportional to 636,642.84, 954,718.80 and 281,461.92

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Solution

The fourth proportional to 636,642.84, 954,718.80 and 281,461.92 is: 422,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,642.84 : 954,718.80 = 281,461.92 : x
  2. Step 2: Convert to fraction form
    636,642.84/954,718.80 = 281,461.92/x
  3. Step 3: Cross multiply
    636,642.84x = 954,718.80 × 281,461.92
  4. Step 4: Simplify right side
    636,642.84x = 268,716,986,508.10
  5. Step 5: Solve for x
    x = 268,716,986,508.10/636,642.84
  6. Step 6: Final answer
    x = 422,084.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.