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Finding the Fourth Proportional to 643,833.14, 963,870.98 and 482,442.60

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Solution

The fourth proportional to 643,833.14, 963,870.98 and 482,442.60 is: 722,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,833.14 : 963,870.98 = 482,442.60 : x
  2. Step 2: Convert to fraction form
    643,833.14/963,870.98 = 482,442.60/x
  3. Step 3: Cross multiply
    643,833.14x = 963,870.98 × 482,442.60
  4. Step 4: Simplify right side
    643,833.14x = 465,012,419,243.54
  5. Step 5: Solve for x
    x = 465,012,419,243.54/643,833.14
  6. Step 6: Final answer
    x = 722,256.12

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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.