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Finding the Fourth Proportional to 457,142.32, 685,758.60 and 157,583.46

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Solution

The fourth proportional to 457,142.32, 685,758.60 and 157,583.46 is: 236,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,142.32 : 685,758.60 = 157,583.46 : x
  2. Step 2: Convert to fraction form
    457,142.32/685,758.60 = 157,583.46/x
  3. Step 3: Cross multiply
    457,142.32x = 685,758.60 × 157,583.46
  4. Step 4: Simplify right side
    457,142.32x = 108,064,212,912.76
  5. Step 5: Solve for x
    x = 108,064,212,912.76/457,142.32
  6. Step 6: Final answer
    x = 236,390.74

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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.