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Finding the Fourth Proportional to 261,906.56, 361,433.60 and 148,730.12

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Solution

The fourth proportional to 261,906.56, 361,433.60 and 148,730.12 is: 205,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,906.56 : 361,433.60 = 148,730.12 : x
  2. Step 2: Convert to fraction form
    261,906.56/361,433.60 = 148,730.12/x
  3. Step 3: Cross multiply
    261,906.56x = 361,433.60 × 148,730.12
  4. Step 4: Simplify right side
    261,906.56x = 53,756,062,700.03
  5. Step 5: Solve for x
    x = 53,756,062,700.03/261,906.56
  6. Step 6: Final answer
    x = 205,249.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.