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Finding the Fourth Proportional to 442,419, 663,630.93 and 109,995

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Solution

The fourth proportional to 442,419, 663,630.93 and 109,995 is: 164,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,419 : 663,630.93 = 109,995 : x
  2. Step 2: Convert to fraction form
    442,419/663,630.93 = 109,995/x
  3. Step 3: Cross multiply
    442,419x = 663,630.93 × 109,995
  4. Step 4: Simplify right side
    442,419x = 72,996,084,145.35
  5. Step 5: Solve for x
    x = 72,996,084,145.35/442,419
  6. Step 6: Final answer
    x = 164,993.10

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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.