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Finding the Fourth Proportional to 313,078.32, 469,689.12 and 135,614.88

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Solution

The fourth proportional to 313,078.32, 469,689.12 and 135,614.88 is: 203,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,078.32 : 469,689.12 = 135,614.88 : x
  2. Step 2: Convert to fraction form
    313,078.32/469,689.12 = 135,614.88/x
  3. Step 3: Cross multiply
    313,078.32x = 469,689.12 × 135,614.88
  4. Step 4: Simplify right side
    313,078.32x = 63,696,833,646.11
  5. Step 5: Solve for x
    x = 63,696,833,646.11/313,078.32
  6. Step 6: Final answer
    x = 203,453.35

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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.