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Finding the Fourth Proportional to 279,937,407.20, 419,906,110.80 and 157,493,400.80

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Solution

The fourth proportional to 279,937,407.20, 419,906,110.80 and 157,493,400.80 is: 236,240,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,407.20 : 419,906,110.80 = 157,493,400.80 : x
  2. Step 2: Convert to fraction form
    279,937,407.20/419,906,110.80 = 157,493,400.80/x
  3. Step 3: Cross multiply
    279,937,407.20x = 419,906,110.80 × 157,493,400.80
  4. Step 4: Simplify right side
    279,937,407.20x = 66,132,441,406,593,616
  5. Step 5: Solve for x
    x = 66,132,441,406,593,616/279,937,407.20
  6. Step 6: Final answer
    x = 236,240,101.20

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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.