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Finding the Fourth Proportional to 290,815.20, 435,992.40 and 159,487.20

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Solution

The fourth proportional to 290,815.20, 435,992.40 and 159,487.20 is: 239,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,815.20 : 435,992.40 = 159,487.20 : x
  2. Step 2: Convert to fraction form
    290,815.20/435,992.40 = 159,487.20/x
  3. Step 3: Cross multiply
    290,815.20x = 435,992.40 × 159,487.20
  4. Step 4: Simplify right side
    290,815.20x = 69,535,207,097.28
  5. Step 5: Solve for x
    x = 69,535,207,097.28/290,815.20
  6. Step 6: Final answer
    x = 239,104.45

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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.