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Finding the Fourth Proportional to 548,909.76, 824,120.24 and 279,220.48

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Solution

The fourth proportional to 548,909.76, 824,120.24 and 279,220.48 is: 419,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,909.76 : 824,120.24 = 279,220.48 : x
  2. Step 2: Convert to fraction form
    548,909.76/824,120.24 = 279,220.48/x
  3. Step 3: Cross multiply
    548,909.76x = 824,120.24 × 279,220.48
  4. Step 4: Simplify right side
    548,909.76x = 230,111,248,990.52
  5. Step 5: Solve for x
    x = 230,111,248,990.52/548,909.76
  6. Step 6: Final answer
    x = 419,215.08

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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.