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Finding the Fourth Proportional to 457,912.34, 686,901.31 and 120,949.64

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Solution

The fourth proportional to 457,912.34, 686,901.31 and 120,949.64 is: 181,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,912.34 : 686,901.31 = 120,949.64 : x
  2. Step 2: Convert to fraction form
    457,912.34/686,901.31 = 120,949.64/x
  3. Step 3: Cross multiply
    457,912.34x = 686,901.31 × 120,949.64
  4. Step 4: Simplify right side
    457,912.34x = 83,080,462,423.15
  5. Step 5: Solve for x
    x = 83,080,462,423.15/457,912.34
  6. Step 6: Final answer
    x = 181,433.11

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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.