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Finding the Fourth Proportional to 288,906.64, 397,859.52 and 238,139.08

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Solution

The fourth proportional to 288,906.64, 397,859.52 and 238,139.08 is: 327,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,906.64 : 397,859.52 = 238,139.08 : x
  2. Step 2: Convert to fraction form
    288,906.64/397,859.52 = 238,139.08/x
  3. Step 3: Cross multiply
    288,906.64x = 397,859.52 × 238,139.08
  4. Step 4: Simplify right side
    288,906.64x = 94,745,900,062.04
  5. Step 5: Solve for x
    x = 94,745,900,062.04/288,906.64
  6. Step 6: Final answer
    x = 327,946.43

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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.