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Finding the Fourth Proportional to 411,865.32, 617,561.30 and 219,502.86

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Solution

The fourth proportional to 411,865.32, 617,561.30 and 219,502.86 is: 329,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,865.32 : 617,561.30 = 219,502.86 : x
  2. Step 2: Convert to fraction form
    411,865.32/617,561.30 = 219,502.86/x
  3. Step 3: Cross multiply
    411,865.32x = 617,561.30 × 219,502.86
  4. Step 4: Simplify right side
    411,865.32x = 135,556,471,575.32
  5. Step 5: Solve for x
    x = 135,556,471,575.32/411,865.32
  6. Step 6: Final answer
    x = 329,128.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.