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Finding the Fourth Proportional to 452,686.14, 678,859.62 and 132,771.78

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Solution

The fourth proportional to 452,686.14, 678,859.62 and 132,771.78 is: 199,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,686.14 : 678,859.62 = 132,771.78 : x
  2. Step 2: Convert to fraction form
    452,686.14/678,859.62 = 132,771.78/x
  3. Step 3: Cross multiply
    452,686.14x = 678,859.62 × 132,771.78
  4. Step 4: Simplify right side
    452,686.14x = 90,133,400,117.52
  5. Step 5: Solve for x
    x = 90,133,400,117.52/452,686.14
  6. Step 6: Final answer
    x = 199,107.93

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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.