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Finding the Fourth Proportional to 643,139.80, 964,804.74 and 222,302.68

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Solution

The fourth proportional to 643,139.80, 964,804.74 and 222,302.68 is: 333,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,139.80 : 964,804.74 = 222,302.68 : x
  2. Step 2: Convert to fraction form
    643,139.80/964,804.74 = 222,302.68/x
  3. Step 3: Cross multiply
    643,139.80x = 964,804.74 × 222,302.68
  4. Step 4: Simplify right side
    643,139.80x = 214,478,679,378.70
  5. Step 5: Solve for x
    x = 214,478,679,378.70/643,139.80
  6. Step 6: Final answer
    x = 333,486.87

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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.