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Finding the Fourth Proportional to 475,228.80, 712,843.20 and 194,947.20

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Solution

The fourth proportional to 475,228.80, 712,843.20 and 194,947.20 is: 292,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,228.80 : 712,843.20 = 194,947.20 : x
  2. Step 2: Convert to fraction form
    475,228.80/712,843.20 = 194,947.20/x
  3. Step 3: Cross multiply
    475,228.80x = 712,843.20 × 194,947.20
  4. Step 4: Simplify right side
    475,228.80x = 138,966,785,879.04
  5. Step 5: Solve for x
    x = 138,966,785,879.04/475,228.80
  6. Step 6: Final answer
    x = 292,420.80

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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.