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Finding the Fourth Proportional to 412,498.80, 618,748.20 and 319,186.80

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Solution

The fourth proportional to 412,498.80, 618,748.20 and 319,186.80 is: 478,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,498.80 : 618,748.20 = 319,186.80 : x
  2. Step 2: Convert to fraction form
    412,498.80/618,748.20 = 319,186.80/x
  3. Step 3: Cross multiply
    412,498.80x = 618,748.20 × 319,186.80
  4. Step 4: Simplify right side
    412,498.80x = 197,496,257,963.76
  5. Step 5: Solve for x
    x = 197,496,257,963.76/412,498.80
  6. Step 6: Final answer
    x = 478,780.20

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Similar ratio
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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.