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Finding the Fourth Proportional to 318,643.20, 478,310.40 and 178,675.20

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Solution

The fourth proportional to 318,643.20, 478,310.40 and 178,675.20 is: 268,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,643.20 : 478,310.40 = 178,675.20 : x
  2. Step 2: Convert to fraction form
    318,643.20/478,310.40 = 178,675.20/x
  3. Step 3: Cross multiply
    318,643.20x = 478,310.40 × 178,675.20
  4. Step 4: Simplify right side
    318,643.20x = 85,462,206,382.08
  5. Step 5: Solve for x
    x = 85,462,206,382.08/318,643.20
  6. Step 6: Final answer
    x = 268,206.59

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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.