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Finding the Fourth Proportional to 275,799.80, 413,405.40 and 157,215.80

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Solution

The fourth proportional to 275,799.80, 413,405.40 and 157,215.80 is: 235,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,799.80 : 413,405.40 = 157,215.80 : x
  2. Step 2: Convert to fraction form
    275,799.80/413,405.40 = 157,215.80/x
  3. Step 3: Cross multiply
    275,799.80x = 413,405.40 × 157,215.80
  4. Step 4: Simplify right side
    275,799.80x = 64,993,860,685.32
  5. Step 5: Solve for x
    x = 64,993,860,685.32/275,799.80
  6. Step 6: Final answer
    x = 235,655.94

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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.