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Finding the Fourth Proportional to 320,391.54, 442,149.66 and 175,205.88

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Solution

The fourth proportional to 320,391.54, 442,149.66 and 175,205.88 is: 241,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,391.54 : 442,149.66 = 175,205.88 : x
  2. Step 2: Convert to fraction form
    320,391.54/442,149.66 = 175,205.88/x
  3. Step 3: Cross multiply
    320,391.54x = 442,149.66 × 175,205.88
  4. Step 4: Simplify right side
    320,391.54x = 77,467,220,272.00
  5. Step 5: Solve for x
    x = 77,467,220,272.00/320,391.54
  6. Step 6: Final answer
    x = 241,789.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.