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Finding the Fourth Proportional to 431,189.46, 595,041.78 and 240,203.28

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Solution

The fourth proportional to 431,189.46, 595,041.78 and 240,203.28 is: 331,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,189.46 : 595,041.78 = 240,203.28 : x
  2. Step 2: Convert to fraction form
    431,189.46/595,041.78 = 240,203.28/x
  3. Step 3: Cross multiply
    431,189.46x = 595,041.78 × 240,203.28
  4. Step 4: Simplify right side
    431,189.46x = 142,930,987,293.04
  5. Step 5: Solve for x
    x = 142,930,987,293.04/431,189.46
  6. Step 6: Final answer
    x = 331,480.71

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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.