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Finding the Fourth Proportional to 313,154.88, 469,731.05 and 113,428.52

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Solution

The fourth proportional to 313,154.88, 469,731.05 and 113,428.52 is: 170,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,154.88 : 469,731.05 = 113,428.52 : x
  2. Step 2: Convert to fraction form
    313,154.88/469,731.05 = 113,428.52/x
  3. Step 3: Cross multiply
    313,154.88x = 469,731.05 × 113,428.52
  4. Step 4: Simplify right side
    313,154.88x = 53,280,897,799.55
  5. Step 5: Solve for x
    x = 53,280,897,799.55/313,154.88
  6. Step 6: Final answer
    x = 170,142.32

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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.