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Finding the Fourth Proportional to 308,132.76, 462,248.35 and 105,705.87

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Solution

The fourth proportional to 308,132.76, 462,248.35 and 105,705.87 is: 158,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,132.76 : 462,248.35 = 105,705.87 : x
  2. Step 2: Convert to fraction form
    308,132.76/462,248.35 = 105,705.87/x
  3. Step 3: Cross multiply
    308,132.76x = 462,248.35 × 105,705.87
  4. Step 4: Simplify right side
    308,132.76x = 48,862,363,992.81
  5. Step 5: Solve for x
    x = 48,862,363,992.81/308,132.76
  6. Step 6: Final answer
    x = 158,575.69

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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.