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Finding the Fourth Proportional to 442,690.33, 663,641.01 and 162,141.97

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Solution

The fourth proportional to 442,690.33, 663,641.01 and 162,141.97 is: 243,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,690.33 : 663,641.01 = 162,141.97 : x
  2. Step 2: Convert to fraction form
    442,690.33/663,641.01 = 162,141.97/x
  3. Step 3: Cross multiply
    442,690.33x = 663,641.01 × 162,141.97
  4. Step 4: Simplify right side
    442,690.33x = 107,604,060,734.19
  5. Step 5: Solve for x
    x = 107,604,060,734.19/442,690.33
  6. Step 6: Final answer
    x = 243,068.47

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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.