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Finding the Fourth Proportional to 675,800.32, 1,011,680.80 and 408,753.12

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Solution

The fourth proportional to 675,800.32, 1,011,680.80 and 408,753.12 is: 611,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,800.32 : 1,011,680.80 = 408,753.12 : x
  2. Step 2: Convert to fraction form
    675,800.32/1,011,680.80 = 408,753.12/x
  3. Step 3: Cross multiply
    675,800.32x = 1,011,680.80 × 408,753.12
  4. Step 4: Simplify right side
    675,800.32x = 413,527,683,444.10
  5. Step 5: Solve for x
    x = 413,527,683,444.10/675,800.32
  6. Step 6: Final answer
    x = 611,908.09

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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.