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Finding the Fourth Proportional to 425,320.80, 638,272.80 and 188,833.20

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Solution

The fourth proportional to 425,320.80, 638,272.80 and 188,833.20 is: 283,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,320.80 : 638,272.80 = 188,833.20 : x
  2. Step 2: Convert to fraction form
    425,320.80/638,272.80 = 188,833.20/x
  3. Step 3: Cross multiply
    425,320.80x = 638,272.80 × 188,833.20
  4. Step 4: Simplify right side
    425,320.80x = 120,527,095,296.96
  5. Step 5: Solve for x
    x = 120,527,095,296.96/425,320.80
  6. Step 6: Final answer
    x = 283,379.26

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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.