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Finding the Fourth Proportional to 457,474.61, 686,206.94 and 187,542.54

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Solution

The fourth proportional to 457,474.61, 686,206.94 and 187,542.54 is: 281,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,474.61 : 686,206.94 = 187,542.54 : x
  2. Step 2: Convert to fraction form
    457,474.61/686,206.94 = 187,542.54/x
  3. Step 3: Cross multiply
    457,474.61x = 686,206.94 × 187,542.54
  4. Step 4: Simplify right side
    457,474.61x = 128,692,991,555.52
  5. Step 5: Solve for x
    x = 128,692,991,555.52/457,474.61
  6. Step 6: Final answer
    x = 281,311.77

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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.