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Finding the Fourth Proportional to 428,880.69, 643,414.59 and 162,643.82

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Solution

The fourth proportional to 428,880.69, 643,414.59 and 162,643.82 is: 244,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,880.69 : 643,414.59 = 162,643.82 : x
  2. Step 2: Convert to fraction form
    428,880.69/643,414.59 = 162,643.82/x
  3. Step 3: Cross multiply
    428,880.69x = 643,414.59 × 162,643.82
  4. Step 4: Simplify right side
    428,880.69x = 104,647,403,544.26
  5. Step 5: Solve for x
    x = 104,647,403,544.26/428,880.69
  6. Step 6: Final answer
    x = 244,001.20

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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.