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Finding the Fourth Proportional to 315,934.66, 474,033.84 and 138,568.96

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Solution

The fourth proportional to 315,934.66, 474,033.84 and 138,568.96 is: 207,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,934.66 : 474,033.84 = 138,568.96 : x
  2. Step 2: Convert to fraction form
    315,934.66/474,033.84 = 138,568.96/x
  3. Step 3: Cross multiply
    315,934.66x = 474,033.84 × 138,568.96
  4. Step 4: Simplify right side
    315,934.66x = 65,686,376,213.61
  5. Step 5: Solve for x
    x = 65,686,376,213.61/315,934.66
  6. Step 6: Final answer
    x = 207,911.27

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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.