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Finding the Fourth Proportional to 518,677.32, 778,098.96 and 219,160.80

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Solution

The fourth proportional to 518,677.32, 778,098.96 and 219,160.80 is: 328,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,677.32 : 778,098.96 = 219,160.80 : x
  2. Step 2: Convert to fraction form
    518,677.32/778,098.96 = 219,160.80/x
  3. Step 3: Cross multiply
    518,677.32x = 778,098.96 × 219,160.80
  4. Step 4: Simplify right side
    518,677.32x = 170,528,790,552.77
  5. Step 5: Solve for x
    x = 170,528,790,552.77/518,677.32
  6. Step 6: Final answer
    x = 328,776.26

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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.