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Finding the Fourth Proportional to 308,616.69, 462,878.25 and 83,994.62

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Solution

The fourth proportional to 308,616.69, 462,878.25 and 83,994.62 is: 125,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,616.69 : 462,878.25 = 83,994.62 : x
  2. Step 2: Convert to fraction form
    308,616.69/462,878.25 = 83,994.62/x
  3. Step 3: Cross multiply
    308,616.69x = 462,878.25 × 83,994.62
  4. Step 4: Simplify right side
    308,616.69x = 38,879,282,715.02
  5. Step 5: Solve for x
    x = 38,879,282,715.02/308,616.69
  6. Step 6: Final answer
    x = 125,979.20

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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.