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Finding the Fourth Proportional to 396,959.45, 596,205.09 and 340,162.11

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Solution

The fourth proportional to 396,959.45, 596,205.09 and 340,162.11 is: 510,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,959.45 : 596,205.09 = 340,162.11 : x
  2. Step 2: Convert to fraction form
    396,959.45/596,205.09 = 340,162.11/x
  3. Step 3: Cross multiply
    396,959.45x = 596,205.09 × 340,162.11
  4. Step 4: Simplify right side
    396,959.45x = 202,806,381,407.14
  5. Step 5: Solve for x
    x = 202,806,381,407.14/396,959.45
  6. Step 6: Final answer
    x = 510,899.50

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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.