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Finding the Fourth Proportional to 540,964.91, 811,521.18 and 225,348

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Solution

The fourth proportional to 540,964.91, 811,521.18 and 225,348 is: 338,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,964.91 : 811,521.18 = 225,348 : x
  2. Step 2: Convert to fraction form
    540,964.91/811,521.18 = 225,348/x
  3. Step 3: Cross multiply
    540,964.91x = 811,521.18 × 225,348
  4. Step 4: Simplify right side
    540,964.91x = 182,874,674,870.64
  5. Step 5: Solve for x
    x = 182,874,674,870.64/540,964.91
  6. Step 6: Final answer
    x = 338,052.75

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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.