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Finding the Fourth Proportional to 320,957.52, 442,459.80 and 225,167.28

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Solution

The fourth proportional to 320,957.52, 442,459.80 and 225,167.28 is: 310,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,957.52 : 442,459.80 = 225,167.28 : x
  2. Step 2: Convert to fraction form
    320,957.52/442,459.80 = 225,167.28/x
  3. Step 3: Cross multiply
    320,957.52x = 442,459.80 × 225,167.28
  4. Step 4: Simplify right side
    320,957.52x = 99,627,469,675.34
  5. Step 5: Solve for x
    x = 99,627,469,675.34/320,957.52
  6. Step 6: Final answer
    x = 310,407.03

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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.