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Finding the Fourth Proportional to 561,514.50, 842,031.98 and 325,020.42

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Solution

The fourth proportional to 561,514.50, 842,031.98 and 325,020.42 is: 487,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,514.50 : 842,031.98 = 325,020.42 : x
  2. Step 2: Convert to fraction form
    561,514.50/842,031.98 = 325,020.42/x
  3. Step 3: Cross multiply
    561,514.50x = 842,031.98 × 325,020.42
  4. Step 4: Simplify right side
    561,514.50x = 273,677,587,793.03
  5. Step 5: Solve for x
    x = 273,677,587,793.03/561,514.50
  6. Step 6: Final answer
    x = 487,391.84

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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.