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Finding the Fourth Proportional to 474,679.64, 711,870.80 and 137,743.56

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Solution

The fourth proportional to 474,679.64, 711,870.80 and 137,743.56 is: 206,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,679.64 : 711,870.80 = 137,743.56 : x
  2. Step 2: Convert to fraction form
    474,679.64/711,870.80 = 137,743.56/x
  3. Step 3: Cross multiply
    474,679.64x = 711,870.80 × 137,743.56
  4. Step 4: Simplify right side
    474,679.64x = 98,055,617,563.33
  5. Step 5: Solve for x
    x = 98,055,617,563.33/474,679.64
  6. Step 6: Final answer
    x = 206,572.20

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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.