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Finding the Fourth Proportional to 457,398.50, 685,964.31 and 153,758.33

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Solution

The fourth proportional to 457,398.50, 685,964.31 and 153,758.33 is: 230,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,398.50 : 685,964.31 = 153,758.33 : x
  2. Step 2: Convert to fraction form
    457,398.50/685,964.31 = 153,758.33/x
  3. Step 3: Cross multiply
    457,398.50x = 685,964.31 × 153,758.33
  4. Step 4: Simplify right side
    457,398.50x = 105,472,728,911.98
  5. Step 5: Solve for x
    x = 105,472,728,911.98/457,398.50
  6. Step 6: Final answer
    x = 230,592.65

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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.