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Finding the Fourth Proportional to 418,950.18, 578,158.17 and 227,964.54

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Solution

The fourth proportional to 418,950.18, 578,158.17 and 227,964.54 is: 314,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,950.18 : 578,158.17 = 227,964.54 : x
  2. Step 2: Convert to fraction form
    418,950.18/578,158.17 = 227,964.54/x
  3. Step 3: Cross multiply
    418,950.18x = 578,158.17 × 227,964.54
  4. Step 4: Simplify right side
    418,950.18x = 131,799,561,271.29
  5. Step 5: Solve for x
    x = 131,799,561,271.29/418,950.18
  6. Step 6: Final answer
    x = 314,594.83

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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.