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Finding the Fourth Proportional to 770,823.80, 1,154,766.90 and 415,719.80

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Solution

The fourth proportional to 770,823.80, 1,154,766.90 and 415,719.80 is: 622,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,823.80 : 1,154,766.90 = 415,719.80 : x
  2. Step 2: Convert to fraction form
    770,823.80/1,154,766.90 = 415,719.80/x
  3. Step 3: Cross multiply
    770,823.80x = 1,154,766.90 × 415,719.80
  4. Step 4: Simplify right side
    770,823.80x = 480,059,464,714.62
  5. Step 5: Solve for x
    x = 480,059,464,714.62/770,823.80
  6. Step 6: Final answer
    x = 622,787.55

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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.