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Finding the Fourth Proportional to 485,112.80, 726,286.80 and 471,288.80

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Solution

The fourth proportional to 485,112.80, 726,286.80 and 471,288.80 is: 705,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,112.80 : 726,286.80 = 471,288.80 : x
  2. Step 2: Convert to fraction form
    485,112.80/726,286.80 = 471,288.80/x
  3. Step 3: Cross multiply
    485,112.80x = 726,286.80 × 471,288.80
  4. Step 4: Simplify right side
    485,112.80x = 342,290,834,427.84
  5. Step 5: Solve for x
    x = 342,290,834,427.84/485,112.80
  6. Step 6: Final answer
    x = 705,590.19

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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.