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Finding the Fourth Proportional to 352,172.80, 527,449.20 and 289,187.20

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Solution

The fourth proportional to 352,172.80, 527,449.20 and 289,187.20 is: 433,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,172.80 : 527,449.20 = 289,187.20 : x
  2. Step 2: Convert to fraction form
    352,172.80/527,449.20 = 289,187.20/x
  3. Step 3: Cross multiply
    352,172.80x = 527,449.20 × 289,187.20
  4. Step 4: Simplify right side
    352,172.80x = 152,531,557,290.24
  5. Step 5: Solve for x
    x = 152,531,557,290.24/352,172.80
  6. Step 6: Final answer
    x = 433,115.67

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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.