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Finding the Fourth Proportional to 318,843.20, 478,264.80 and 219,310.40

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Solution

The fourth proportional to 318,843.20, 478,264.80 and 219,310.40 is: 328,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,843.20 : 478,264.80 = 219,310.40 : x
  2. Step 2: Convert to fraction form
    318,843.20/478,264.80 = 219,310.40/x
  3. Step 3: Cross multiply
    318,843.20x = 478,264.80 × 219,310.40
  4. Step 4: Simplify right side
    318,843.20x = 104,888,444,593.92
  5. Step 5: Solve for x
    x = 104,888,444,593.92/318,843.20
  6. Step 6: Final answer
    x = 328,965.60

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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.