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Finding the Fourth Proportional to 295,170, 442,755 and 98,178

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Solution

The fourth proportional to 295,170, 442,755 and 98,178 is: 147,267

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,170 : 442,755 = 98,178 : x
  2. Step 2: Convert to fraction form
    295,170/442,755 = 98,178/x
  3. Step 3: Cross multiply
    295,170x = 442,755 × 98,178
  4. Step 4: Simplify right side
    295,170x = 43,468,800,390
  5. Step 5: Solve for x
    x = 43,468,800,390/295,170
  6. Step 6: Final answer
    x = 147,267

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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.