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Finding the Fourth Proportional to 308,616.53, 462,878.02 and 83,994.47

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Solution

The fourth proportional to 308,616.53, 462,878.02 and 83,994.47 is: 125,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,616.53 : 462,878.02 = 83,994.47 : x
  2. Step 2: Convert to fraction form
    308,616.53/462,878.02 = 83,994.47/x
  3. Step 3: Cross multiply
    308,616.53x = 462,878.02 × 83,994.47
  4. Step 4: Simplify right side
    308,616.53x = 38,879,193,254.71
  5. Step 5: Solve for x
    x = 38,879,193,254.71/308,616.53
  6. Step 6: Final answer
    x = 125,978.97

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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.