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Finding the Fourth Proportional to 442,410, 663,617.43 and 109,986

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Solution

The fourth proportional to 442,410, 663,617.43 and 109,986 is: 164,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,410 : 663,617.43 = 109,986 : x
  2. Step 2: Convert to fraction form
    442,410/663,617.43 = 109,986/x
  3. Step 3: Cross multiply
    442,410x = 663,617.43 × 109,986
  4. Step 4: Simplify right side
    442,410x = 72,988,626,655.98
  5. Step 5: Solve for x
    x = 72,988,626,655.98/442,410
  6. Step 6: Final answer
    x = 164,979.60

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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.