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Finding the Fourth Proportional to 380,689.92, 525,351.84 and 219,542.64

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Solution

The fourth proportional to 380,689.92, 525,351.84 and 219,542.64 is: 302,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,689.92 : 525,351.84 = 219,542.64 : x
  2. Step 2: Convert to fraction form
    380,689.92/525,351.84 = 219,542.64/x
  3. Step 3: Cross multiply
    380,689.92x = 525,351.84 × 219,542.64
  4. Step 4: Simplify right side
    380,689.92x = 115,337,129,882.46
  5. Step 5: Solve for x
    x = 115,337,129,882.46/380,689.92
  6. Step 6: Final answer
    x = 302,968.70

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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.