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Finding the Fourth Proportional to 643,382.40, 965,307.60 and 222,700.80

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Solution

The fourth proportional to 643,382.40, 965,307.60 and 222,700.80 is: 334,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,382.40 : 965,307.60 = 222,700.80 : x
  2. Step 2: Convert to fraction form
    643,382.40/965,307.60 = 222,700.80/x
  3. Step 3: Cross multiply
    643,382.40x = 965,307.60 × 222,700.80
  4. Step 4: Simplify right side
    643,382.40x = 214,974,774,766.08
  5. Step 5: Solve for x
    x = 214,974,774,766.08/643,382.40
  6. Step 6: Final answer
    x = 334,132.20

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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.