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Finding the Fourth Proportional to 457,509.28, 686,355.56 and 158,000.80

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Solution

The fourth proportional to 457,509.28, 686,355.56 and 158,000.80 is: 237,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,509.28 : 686,355.56 = 158,000.80 : x
  2. Step 2: Convert to fraction form
    457,509.28/686,355.56 = 158,000.80/x
  3. Step 3: Cross multiply
    457,509.28x = 686,355.56 × 158,000.80
  4. Step 4: Simplify right side
    457,509.28x = 108,444,727,564.45
  5. Step 5: Solve for x
    x = 108,444,727,564.45/457,509.28
  6. Step 6: Final answer
    x = 237,032.85

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1.5x scale

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.