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Finding the Fourth Proportional to 675,642.56, 1,011,443.36 and 408,594.88

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Solution

The fourth proportional to 675,642.56, 1,011,443.36 and 408,594.88 is: 611,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,642.56 : 1,011,443.36 = 408,594.88 : x
  2. Step 2: Convert to fraction form
    675,642.56/1,011,443.36 = 408,594.88/x
  3. Step 3: Cross multiply
    675,642.56x = 1,011,443.36 × 408,594.88
  4. Step 4: Simplify right side
    675,642.56x = 413,270,578,306.00
  5. Step 5: Solve for x
    x = 413,270,578,306.00/675,642.56
  6. Step 6: Final answer
    x = 611,670.43

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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.