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Finding the Fourth Proportional to 518,945.91, 778,523.90 and 219,426

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Solution

The fourth proportional to 518,945.91, 778,523.90 and 219,426 is: 329,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,945.91 : 778,523.90 = 219,426 : x
  2. Step 2: Convert to fraction form
    518,945.91/778,523.90 = 219,426/x
  3. Step 3: Cross multiply
    518,945.91x = 778,523.90 × 219,426
  4. Step 4: Simplify right side
    518,945.91x = 170,828,385,281.40
  5. Step 5: Solve for x
    x = 170,828,385,281.40/518,945.91
  6. Step 6: Final answer
    x = 329,183.41

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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.