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Finding the Fourth Proportional to 341,071.20, 511,315.08 and 130,860

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Solution

The fourth proportional to 341,071.20, 511,315.08 and 130,860 is: 196,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,071.20 : 511,315.08 = 130,860 : x
  2. Step 2: Convert to fraction form
    341,071.20/511,315.08 = 130,860/x
  3. Step 3: Cross multiply
    341,071.20x = 511,315.08 × 130,860
  4. Step 4: Simplify right side
    341,071.20x = 66,910,691,368.80
  5. Step 5: Solve for x
    x = 66,910,691,368.80/341,071.20
  6. Step 6: Final answer
    x = 196,178.07

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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.