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Finding the Fourth Proportional to 308,947, 463,406.59 and 84,306.66

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Solution

The fourth proportional to 308,947, 463,406.59 and 84,306.66 is: 126,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,947 : 463,406.59 = 84,306.66 : x
  2. Step 2: Convert to fraction form
    308,947/463,406.59 = 84,306.66/x
  3. Step 3: Cross multiply
    308,947x = 463,406.59 × 84,306.66
  4. Step 4: Simplify right side
    308,947x = 39,068,261,824.89
  5. Step 5: Solve for x
    x = 39,068,261,824.89/308,947
  6. Step 6: Final answer
    x = 126,456.19

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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.