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Finding the Fourth Proportional to 478,514.20, 717,713.70 and 198,002.20

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Solution

The fourth proportional to 478,514.20, 717,713.70 and 198,002.20 is: 296,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,514.20 : 717,713.70 = 198,002.20 : x
  2. Step 2: Convert to fraction form
    478,514.20/717,713.70 = 198,002.20/x
  3. Step 3: Cross multiply
    478,514.20x = 717,713.70 × 198,002.20
  4. Step 4: Simplify right side
    478,514.20x = 142,108,891,570.14
  5. Step 5: Solve for x
    x = 142,108,891,570.14/478,514.20
  6. Step 6: Final answer
    x = 296,979.47

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1.5x scale

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.