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Finding the Fourth Proportional to 442,170.91, 663,396.55 and 157,855.35

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Solution

The fourth proportional to 442,170.91, 663,396.55 and 157,855.35 is: 236,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,170.91 : 663,396.55 = 157,855.35 : x
  2. Step 2: Convert to fraction form
    442,170.91/663,396.55 = 157,855.35/x
  3. Step 3: Cross multiply
    442,170.91x = 663,396.55 × 157,855.35
  4. Step 4: Simplify right side
    442,170.91x = 104,720,696,781.90
  5. Step 5: Solve for x
    x = 104,720,696,781.90/442,170.91
  6. Step 6: Final answer
    x = 236,833.08

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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.