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Finding the Fourth Proportional to 778,411.86, 1,167,775.34 and 329,132

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Solution

The fourth proportional to 778,411.86, 1,167,775.34 and 329,132 is: 493,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,411.86 : 1,167,775.34 = 329,132 : x
  2. Step 2: Convert to fraction form
    778,411.86/1,167,775.34 = 329,132/x
  3. Step 3: Cross multiply
    778,411.86x = 1,167,775.34 × 329,132
  4. Step 4: Simplify right side
    778,411.86x = 384,352,233,204.88
  5. Step 5: Solve for x
    x = 384,352,233,204.88/778,411.86
  6. Step 6: Final answer
    x = 493,764.62

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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.