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Finding the Fourth Proportional to 380,543.46, 525,022.02 and 219,394.97

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Solution

The fourth proportional to 380,543.46, 525,022.02 and 219,394.97 is: 302,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,543.46 : 525,022.02 = 219,394.97 : x
  2. Step 2: Convert to fraction form
    380,543.46/525,022.02 = 219,394.97/x
  3. Step 3: Cross multiply
    380,543.46x = 525,022.02 × 219,394.97
  4. Step 4: Simplify right side
    380,543.46x = 115,187,190,327.24
  5. Step 5: Solve for x
    x = 115,187,190,327.24/380,543.46
  6. Step 6: Final answer
    x = 302,691.29

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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.