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Finding the Fourth Proportional to 425,319.80, 638,271.30 and 188,832.20

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Solution

The fourth proportional to 425,319.80, 638,271.30 and 188,832.20 is: 283,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,319.80 : 638,271.30 = 188,832.20 : x
  2. Step 2: Convert to fraction form
    425,319.80/638,271.30 = 188,832.20/x
  3. Step 3: Cross multiply
    425,319.80x = 638,271.30 × 188,832.20
  4. Step 4: Simplify right side
    425,319.80x = 120,526,173,775.86
  5. Step 5: Solve for x
    x = 120,526,173,775.86/425,319.80
  6. Step 6: Final answer
    x = 283,377.76

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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.