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Finding the Fourth Proportional to 295,830, 443,745 and 98,838

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Solution

The fourth proportional to 295,830, 443,745 and 98,838 is: 148,257

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,830 : 443,745 = 98,838 : x
  2. Step 2: Convert to fraction form
    295,830/443,745 = 98,838/x
  3. Step 3: Cross multiply
    295,830x = 443,745 × 98,838
  4. Step 4: Simplify right side
    295,830x = 43,858,868,310
  5. Step 5: Solve for x
    x = 43,858,868,310/295,830
  6. Step 6: Final answer
    x = 148,257

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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.