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Finding the Fourth Proportional to 307,961.40, 461,711.70 and 167,878.20

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Solution

The fourth proportional to 307,961.40, 461,711.70 and 167,878.20 is: 251,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,961.40 : 461,711.70 = 167,878.20 : x
  2. Step 2: Convert to fraction form
    307,961.40/461,711.70 = 167,878.20/x
  3. Step 3: Cross multiply
    307,961.40x = 461,711.70 × 167,878.20
  4. Step 4: Simplify right side
    307,961.40x = 77,511,329,114.94
  5. Step 5: Solve for x
    x = 77,511,329,114.94/307,961.40
  6. Step 6: Final answer
    x = 251,691.70

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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.