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Finding the Fourth Proportional to 457,497.69, 686,338.29 and 157,989.30

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Solution

The fourth proportional to 457,497.69, 686,338.29 and 157,989.30 is: 237,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,497.69 : 686,338.29 = 157,989.30 : x
  2. Step 2: Convert to fraction form
    457,497.69/686,338.29 = 157,989.30/x
  3. Step 3: Cross multiply
    457,497.69x = 686,338.29 × 157,989.30
  4. Step 4: Simplify right side
    457,497.69x = 108,434,106,000.30
  5. Step 5: Solve for x
    x = 108,434,106,000.30/457,497.69
  6. Step 6: Final answer
    x = 237,015.64

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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.