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Finding the Fourth Proportional to 380,701.52, 525,377.04 and 219,563.36

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Solution

The fourth proportional to 380,701.52, 525,377.04 and 219,563.36 is: 303,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,701.52 : 525,377.04 = 219,563.36 : x
  2. Step 2: Convert to fraction form
    380,701.52/525,377.04 = 219,563.36/x
  3. Step 3: Cross multiply
    380,701.52x = 525,377.04 × 219,563.36
  4. Step 4: Simplify right side
    380,701.52x = 115,353,548,169.25
  5. Step 5: Solve for x
    x = 115,353,548,169.25/380,701.52
  6. Step 6: Final answer
    x = 303,002.59

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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.