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Finding the Fourth Proportional to 442,425, 663,640.02 and 110,001

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Solution

The fourth proportional to 442,425, 663,640.02 and 110,001 is: 165,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,425 : 663,640.02 = 110,001 : x
  2. Step 2: Convert to fraction form
    442,425/663,640.02 = 110,001/x
  3. Step 3: Cross multiply
    442,425x = 663,640.02 × 110,001
  4. Step 4: Simplify right side
    442,425x = 73,001,065,840.02
  5. Step 5: Solve for x
    x = 73,001,065,840.02/442,425
  6. Step 6: Final answer
    x = 165,002.13

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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.