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Finding the Fourth Proportional to 478,174.88, 659,883.24 and 287,191.52

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Solution

The fourth proportional to 478,174.88, 659,883.24 and 287,191.52 is: 396,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,174.88 : 659,883.24 = 287,191.52 : x
  2. Step 2: Convert to fraction form
    478,174.88/659,883.24 = 287,191.52/x
  3. Step 3: Cross multiply
    478,174.88x = 659,883.24 × 287,191.52
  4. Step 4: Simplify right side
    478,174.88x = 189,512,870,718.13
  5. Step 5: Solve for x
    x = 189,512,870,718.13/478,174.88
  6. Step 6: Final answer
    x = 396,325.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.