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Finding the Fourth Proportional to 308,136.96, 462,251.52 and 97,781.76

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Solution

The fourth proportional to 308,136.96, 462,251.52 and 97,781.76 is: 146,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,136.96 : 462,251.52 = 97,781.76 : x
  2. Step 2: Convert to fraction form
    308,136.96/462,251.52 = 97,781.76/x
  3. Step 3: Cross multiply
    308,136.96x = 462,251.52 × 97,781.76
  4. Step 4: Simplify right side
    308,136.96x = 45,199,767,188.28
  5. Step 5: Solve for x
    x = 45,199,767,188.28/308,136.96
  6. Step 6: Final answer
    x = 146,687.26

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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.