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Finding the Fourth Proportional to 310,278.47, 428,230.60 and 189,489.24

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Solution

The fourth proportional to 310,278.47, 428,230.60 and 189,489.24 is: 261,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,278.47 : 428,230.60 = 189,489.24 : x
  2. Step 2: Convert to fraction form
    310,278.47/428,230.60 = 189,489.24/x
  3. Step 3: Cross multiply
    310,278.47x = 428,230.60 × 189,489.24
  4. Step 4: Simplify right side
    310,278.47x = 81,145,090,465.02
  5. Step 5: Solve for x
    x = 81,145,090,465.02/310,278.47
  6. Step 6: Final answer
    x = 261,523.44

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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.