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Finding the Fourth Proportional to 320,987.50, 442,957.30 and 177,744.46

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Solution

The fourth proportional to 320,987.50, 442,957.30 and 177,744.46 is: 245,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,987.50 : 442,957.30 = 177,744.46 : x
  2. Step 2: Convert to fraction form
    320,987.50/442,957.30 = 177,744.46/x
  3. Step 3: Cross multiply
    320,987.50x = 442,957.30 × 177,744.46
  4. Step 4: Simplify right side
    320,987.50x = 78,733,206,091.56
  5. Step 5: Solve for x
    x = 78,733,206,091.56/320,987.50
  6. Step 6: Final answer
    x = 245,284.34

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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.