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Finding the Fourth Proportional to 442,758, 664,137 and 147,270

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Solution

The fourth proportional to 442,758, 664,137 and 147,270 is: 220,905

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,758 : 664,137 = 147,270 : x
  2. Step 2: Convert to fraction form
    442,758/664,137 = 147,270/x
  3. Step 3: Cross multiply
    442,758x = 664,137 × 147,270
  4. Step 4: Simplify right side
    442,758x = 97,807,455,990
  5. Step 5: Solve for x
    x = 97,807,455,990/442,758
  6. Step 6: Final answer
    x = 220,905

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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.