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Finding the Fourth Proportional to 315,934.41, 474,033.47 and 138,568.71

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Solution

The fourth proportional to 315,934.41, 474,033.47 and 138,568.71 is: 207,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,934.41 : 474,033.47 = 138,568.71 : x
  2. Step 2: Convert to fraction form
    315,934.41/474,033.47 = 138,568.71/x
  3. Step 3: Cross multiply
    315,934.41x = 474,033.47 × 138,568.71
  4. Step 4: Simplify right side
    315,934.41x = 65,686,205,741.88
  5. Step 5: Solve for x
    x = 65,686,205,741.88/315,934.41
  6. Step 6: Final answer
    x = 207,910.89

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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.