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Finding the Fourth Proportional to 315,142.31, 472,739.49 and 132,825.76

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Solution

The fourth proportional to 315,142.31, 472,739.49 and 132,825.76 is: 199,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,142.31 : 472,739.49 = 132,825.76 : x
  2. Step 2: Convert to fraction form
    315,142.31/472,739.49 = 132,825.76/x
  3. Step 3: Cross multiply
    315,142.31x = 472,739.49 × 132,825.76
  4. Step 4: Simplify right side
    315,142.31x = 62,791,980,859.41
  5. Step 5: Solve for x
    x = 62,791,980,859.41/315,142.31
  6. Step 6: Final answer
    x = 199,249.60

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1.5x scale

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.