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Finding the Fourth Proportional to 275,799.30, 413,404.65 and 157,215.30

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Solution

The fourth proportional to 275,799.30, 413,404.65 and 157,215.30 is: 235,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,799.30 : 413,404.65 = 157,215.30 : x
  2. Step 2: Convert to fraction form
    275,799.30/413,404.65 = 157,215.30/x
  3. Step 3: Cross multiply
    275,799.30x = 413,404.65 × 157,215.30
  4. Step 4: Simplify right side
    275,799.30x = 64,993,536,071.15
  5. Step 5: Solve for x
    x = 64,993,536,071.15/275,799.30
  6. Step 6: Final answer
    x = 235,655.19

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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.