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Finding the Fourth Proportional to 518,974.80, 778,030.20 and 219,685.20

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Solution

The fourth proportional to 518,974.80, 778,030.20 and 219,685.20 is: 329,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,974.80 : 778,030.20 = 219,685.20 : x
  2. Step 2: Convert to fraction form
    518,974.80/778,030.20 = 219,685.20/x
  3. Step 3: Cross multiply
    518,974.80x = 778,030.20 × 219,685.20
  4. Step 4: Simplify right side
    518,974.80x = 170,921,720,093.04
  5. Step 5: Solve for x
    x = 170,921,720,093.04/518,974.80
  6. Step 6: Final answer
    x = 329,344.93

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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.