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Finding the Fourth Proportional to 315,757.74, 473,973.78 and 135,932.18

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Solution

The fourth proportional to 315,757.74, 473,973.78 and 135,932.18 is: 204,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,757.74 : 473,973.78 = 135,932.18 : x
  2. Step 2: Convert to fraction form
    315,757.74/473,973.78 = 135,932.18/x
  3. Step 3: Cross multiply
    315,757.74x = 473,973.78 × 135,932.18
  4. Step 4: Simplify right side
    315,757.74x = 64,428,286,808.37
  5. Step 5: Solve for x
    x = 64,428,286,808.37/315,757.74
  6. Step 6: Final answer
    x = 204,043.41

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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.