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Finding the Fourth Proportional to 580,917.20, 871,375.80 and 206,952.40

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Solution

The fourth proportional to 580,917.20, 871,375.80 and 206,952.40 is: 310,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,917.20 : 871,375.80 = 206,952.40 : x
  2. Step 2: Convert to fraction form
    580,917.20/871,375.80 = 206,952.40/x
  3. Step 3: Cross multiply
    580,917.20x = 871,375.80 × 206,952.40
  4. Step 4: Simplify right side
    580,917.20x = 180,333,313,111.92
  5. Step 5: Solve for x
    x = 180,333,313,111.92/580,917.20
  6. Step 6: Final answer
    x = 310,428.60

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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.