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Finding the Fourth Proportional to 518,932.88, 778,432.12 and 219,374.02

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Solution

The fourth proportional to 518,932.88, 778,432.12 and 219,374.02 is: 329,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,932.88 : 778,432.12 = 219,374.02 : x
  2. Step 2: Convert to fraction form
    518,932.88/778,432.12 = 219,374.02/x
  3. Step 3: Cross multiply
    518,932.88x = 778,432.12 × 219,374.02
  4. Step 4: Simplify right side
    518,932.88x = 170,767,778,472.49
  5. Step 5: Solve for x
    x = 170,767,778,472.49/518,932.88
  6. Step 6: Final answer
    x = 329,074.89

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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.