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Finding the Fourth Proportional to 778,978.30, 1,168,467.45 and 329,549.80

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Solution

The fourth proportional to 778,978.30, 1,168,467.45 and 329,549.80 is: 494,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,978.30 : 1,168,467.45 = 329,549.80 : x
  2. Step 2: Convert to fraction form
    778,978.30/1,168,467.45 = 329,549.80/x
  3. Step 3: Cross multiply
    778,978.30x = 1,168,467.45 × 329,549.80
  4. Step 4: Simplify right side
    778,978.30x = 385,068,214,454.01
  5. Step 5: Solve for x
    x = 385,068,214,454.01/778,978.30
  6. Step 6: Final answer
    x = 494,324.70

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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.