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Finding the Fourth Proportional to 457,910.10, 686,969.78 and 158,390.42

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Solution

The fourth proportional to 457,910.10, 686,969.78 and 158,390.42 is: 237,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,910.10 : 686,969.78 = 158,390.42 : x
  2. Step 2: Convert to fraction form
    457,910.10/686,969.78 = 158,390.42/x
  3. Step 3: Cross multiply
    457,910.10x = 686,969.78 × 158,390.42
  4. Step 4: Simplify right side
    457,910.10x = 108,809,427,754.71
  5. Step 5: Solve for x
    x = 108,809,427,754.71/457,910.10
  6. Step 6: Final answer
    x = 237,621.81

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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.