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Finding the Fourth Proportional to 442,951.70, 663,973.95 and 217,966.10

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Solution

The fourth proportional to 442,951.70, 663,973.95 and 217,966.10 is: 326,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,951.70 : 663,973.95 = 217,966.10 : x
  2. Step 2: Convert to fraction form
    442,951.70/663,973.95 = 217,966.10/x
  3. Step 3: Cross multiply
    442,951.70x = 663,973.95 × 217,966.10
  4. Step 4: Simplify right side
    442,951.70x = 144,723,812,383.10
  5. Step 5: Solve for x
    x = 144,723,812,383.10/442,951.70
  6. Step 6: Final answer
    x = 326,725.94

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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.