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Finding the Fourth Proportional to 380,542.46, 525,020.64 and 219,393.97

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Solution

The fourth proportional to 380,542.46, 525,020.64 and 219,393.97 is: 302,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,542.46 : 525,020.64 = 219,393.97 : x
  2. Step 2: Convert to fraction form
    380,542.46/525,020.64 = 219,393.97/x
  3. Step 3: Cross multiply
    380,542.46x = 525,020.64 × 219,393.97
  4. Step 4: Simplify right side
    380,542.46x = 115,186,360,406.26
  5. Step 5: Solve for x
    x = 115,186,360,406.26/380,542.46
  6. Step 6: Final answer
    x = 302,689.91

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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.