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Finding the Fourth Proportional to 393,123.89, 589,336.76 and 153,182.21

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Solution

The fourth proportional to 393,123.89, 589,336.76 and 153,182.21 is: 229,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,123.89 : 589,336.76 = 153,182.21 : x
  2. Step 2: Convert to fraction form
    393,123.89/589,336.76 = 153,182.21/x
  3. Step 3: Cross multiply
    393,123.89x = 589,336.76 × 153,182.21
  4. Step 4: Simplify right side
    393,123.89x = 90,275,906,565.13
  5. Step 5: Solve for x
    x = 90,275,906,565.13/393,123.89
  6. Step 6: Final answer
    x = 229,637.29

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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.