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Finding the Fourth Proportional to 457,287.72, 685,964.79 and 157,764.30

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Solution

The fourth proportional to 457,287.72, 685,964.79 and 157,764.30 is: 236,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,287.72 : 685,964.79 = 157,764.30 : x
  2. Step 2: Convert to fraction form
    457,287.72/685,964.79 = 157,764.30/x
  3. Step 3: Cross multiply
    457,287.72x = 685,964.79 × 157,764.30
  4. Step 4: Simplify right side
    457,287.72x = 108,220,754,919.00
  5. Step 5: Solve for x
    x = 108,220,754,919.00/457,287.72
  6. Step 6: Final answer
    x = 236,657.91

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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.