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Finding the Fourth Proportional to 442,891.50, 611,223.12 and 251,966.40

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Solution

The fourth proportional to 442,891.50, 611,223.12 and 251,966.40 is: 347,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,891.50 : 611,223.12 = 251,966.40 : x
  2. Step 2: Convert to fraction form
    442,891.50/611,223.12 = 251,966.40/x
  3. Step 3: Cross multiply
    442,891.50x = 611,223.12 × 251,966.40
  4. Step 4: Simplify right side
    442,891.50x = 154,007,689,143.17
  5. Step 5: Solve for x
    x = 154,007,689,143.17/442,891.50
  6. Step 6: Final answer
    x = 347,732.32

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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.