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Finding the Fourth Proportional to 275,740.80, 413,611.20 and 157,424.10

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Solution

The fourth proportional to 275,740.80, 413,611.20 and 157,424.10 is: 236,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,740.80 : 413,611.20 = 157,424.10 : x
  2. Step 2: Convert to fraction form
    275,740.80/413,611.20 = 157,424.10/x
  3. Step 3: Cross multiply
    275,740.80x = 413,611.20 × 157,424.10
  4. Step 4: Simplify right side
    275,740.80x = 65,112,370,909.92
  5. Step 5: Solve for x
    x = 65,112,370,909.92/275,740.80
  6. Step 6: Final answer
    x = 236,136.15

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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.