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Finding the Fourth Proportional to 311,055.87, 429,258.11 and 175,091.96

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Solution

The fourth proportional to 311,055.87, 429,258.11 and 175,091.96 is: 241,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,055.87 : 429,258.11 = 175,091.96 : x
  2. Step 2: Convert to fraction form
    311,055.87/429,258.11 = 175,091.96/x
  3. Step 3: Cross multiply
    311,055.87x = 429,258.11 × 175,091.96
  4. Step 4: Simplify right side
    311,055.87x = 75,159,644,023.48
  5. Step 5: Solve for x
    x = 75,159,644,023.48/311,055.87
  6. Step 6: Final answer
    x = 241,627.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.