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Finding the Fourth Proportional to 318,863.22, 478,322.37 and 82,203.90

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Solution

The fourth proportional to 318,863.22, 478,322.37 and 82,203.90 is: 123,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,863.22 : 478,322.37 = 82,203.90 : x
  2. Step 2: Convert to fraction form
    318,863.22/478,322.37 = 82,203.90/x
  3. Step 3: Cross multiply
    318,863.22x = 478,322.37 × 82,203.90
  4. Step 4: Simplify right side
    318,863.22x = 39,319,963,860.22
  5. Step 5: Solve for x
    x = 39,319,963,860.22/318,863.22
  6. Step 6: Final answer
    x = 123,312.95

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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.