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Finding the Fourth Proportional to 667,883.40, 999,312.48 and 410,821.80

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Solution

The fourth proportional to 667,883.40, 999,312.48 and 410,821.80 is: 614,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,883.40 : 999,312.48 = 410,821.80 : x
  2. Step 2: Convert to fraction form
    667,883.40/999,312.48 = 410,821.80/x
  3. Step 3: Cross multiply
    667,883.40x = 999,312.48 × 410,821.80
  4. Step 4: Simplify right side
    667,883.40x = 410,539,351,796.06
  5. Step 5: Solve for x
    x = 410,539,351,796.06/667,883.40
  6. Step 6: Final answer
    x = 614,687.16

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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.