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Finding the Fourth Proportional to 457,859.85, 686,822.69 and 120,897.13

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Solution

The fourth proportional to 457,859.85, 686,822.69 and 120,897.13 is: 181,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,859.85 : 686,822.69 = 120,897.13 : x
  2. Step 2: Convert to fraction form
    457,859.85/686,822.69 = 120,897.13/x
  3. Step 3: Cross multiply
    457,859.85x = 686,822.69 × 120,897.13
  4. Step 4: Simplify right side
    457,859.85x = 83,034,891,435.39
  5. Step 5: Solve for x
    x = 83,034,891,435.39/457,859.85
  6. Step 6: Final answer
    x = 181,354.39

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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.