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Finding the Fourth Proportional to 518,540.40, 778,466.70 and 278,845.20

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Solution

The fourth proportional to 518,540.40, 778,466.70 and 278,845.20 is: 418,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,540.40 : 778,466.70 = 278,845.20 : x
  2. Step 2: Convert to fraction form
    518,540.40/778,466.70 = 278,845.20/x
  3. Step 3: Cross multiply
    518,540.40x = 778,466.70 × 278,845.20
  4. Step 4: Simplify right side
    518,540.40x = 217,071,702,654.84
  5. Step 5: Solve for x
    x = 217,071,702,654.84/518,540.40
  6. Step 6: Final answer
    x = 418,620.62

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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.