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Finding the Fourth Proportional to 714,722.67, 986,310.46 and 392,429.95

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Solution

The fourth proportional to 714,722.67, 986,310.46 and 392,429.95 is: 541,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,722.67 : 986,310.46 = 392,429.95 : x
  2. Step 2: Convert to fraction form
    714,722.67/986,310.46 = 392,429.95/x
  3. Step 3: Cross multiply
    714,722.67x = 986,310.46 × 392,429.95
  4. Step 4: Simplify right side
    714,722.67x = 387,057,764,502.28
  5. Step 5: Solve for x
    x = 387,057,764,502.28/714,722.67
  6. Step 6: Final answer
    x = 541,549.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.