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Finding the Fourth Proportional to 393,062.64, 589,718.56 and 140,337.78

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Solution

The fourth proportional to 393,062.64, 589,718.56 and 140,337.78 is: 210,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,062.64 : 589,718.56 = 140,337.78 : x
  2. Step 2: Convert to fraction form
    393,062.64/589,718.56 = 140,337.78/x
  3. Step 3: Cross multiply
    393,062.64x = 589,718.56 × 140,337.78
  4. Step 4: Simplify right side
    393,062.64x = 82,759,793,535.20
  5. Step 5: Solve for x
    x = 82,759,793,535.20/393,062.64
  6. Step 6: Final answer
    x = 210,551.16

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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.