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Finding the Fourth Proportional to 415,763.80, 623,645.70 and 410,234.20

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Solution

The fourth proportional to 415,763.80, 623,645.70 and 410,234.20 is: 615,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,763.80 : 623,645.70 = 410,234.20 : x
  2. Step 2: Convert to fraction form
    415,763.80/623,645.70 = 410,234.20/x
  3. Step 3: Cross multiply
    415,763.80x = 623,645.70 × 410,234.20
  4. Step 4: Simplify right side
    415,763.80x = 255,840,794,822.94
  5. Step 5: Solve for x
    x = 255,840,794,822.94/415,763.80
  6. Step 6: Final answer
    x = 615,351.30

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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.