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Finding the Fourth Proportional to 318,920.20, 478,218.30 and 185,828.20

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Solution

The fourth proportional to 318,920.20, 478,218.30 and 185,828.20 is: 278,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,920.20 : 478,218.30 = 185,828.20 : x
  2. Step 2: Convert to fraction form
    318,920.20/478,218.30 = 185,828.20/x
  3. Step 3: Cross multiply
    318,920.20x = 478,218.30 × 185,828.20
  4. Step 4: Simplify right side
    318,920.20x = 88,866,445,896.06
  5. Step 5: Solve for x
    x = 88,866,445,896.06/318,920.20
  6. Step 6: Final answer
    x = 278,647.91

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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.