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Finding the Fourth Proportional to 457,168.31, 685,754.74 and 187,443.77

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Solution

The fourth proportional to 457,168.31, 685,754.74 and 187,443.77 is: 281,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,168.31 : 685,754.74 = 187,443.77 : x
  2. Step 2: Convert to fraction form
    457,168.31/685,754.74 = 187,443.77/x
  3. Step 3: Cross multiply
    457,168.31x = 685,754.74 × 187,443.77
  4. Step 4: Simplify right side
    457,168.31x = 128,540,455,006.75
  5. Step 5: Solve for x
    x = 128,540,455,006.75/457,168.31
  6. Step 6: Final answer
    x = 281,166.59

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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.