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Finding the Fourth Proportional to 457,612.96, 686,423.50 and 187,889.44

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Solution

The fourth proportional to 457,612.96, 686,423.50 and 187,889.44 is: 281,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,612.96 : 686,423.50 = 187,889.44 : x
  2. Step 2: Convert to fraction form
    457,612.96/686,423.50 = 187,889.44/x
  3. Step 3: Cross multiply
    457,612.96x = 686,423.50 × 187,889.44
  4. Step 4: Simplify right side
    457,612.96x = 128,971,727,017.84
  5. Step 5: Solve for x
    x = 128,971,727,017.84/457,612.96
  6. Step 6: Final answer
    x = 281,835.83

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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.