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Finding the Fourth Proportional to 442,403.25, 663,607.31 and 109,979.25

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Solution

The fourth proportional to 442,403.25, 663,607.31 and 109,979.25 is: 164,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,403.25 : 663,607.31 = 109,979.25 : x
  2. Step 2: Convert to fraction form
    442,403.25/663,607.31 = 109,979.25/x
  3. Step 3: Cross multiply
    442,403.25x = 663,607.31 × 109,979.25
  4. Step 4: Simplify right side
    442,403.25x = 72,983,033,698.42
  5. Step 5: Solve for x
    x = 72,983,033,698.42/442,403.25
  6. Step 6: Final answer
    x = 164,969.48

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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.