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Finding the Fourth Proportional to 256,238.84, 383,472.52 and 160,142.06

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Solution

The fourth proportional to 256,238.84, 383,472.52 and 160,142.06 is: 239,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,238.84 : 383,472.52 = 160,142.06 : x
  2. Step 2: Convert to fraction form
    256,238.84/383,472.52 = 160,142.06/x
  3. Step 3: Cross multiply
    256,238.84x = 383,472.52 × 160,142.06
  4. Step 4: Simplify right side
    256,238.84x = 61,410,079,306.19
  5. Step 5: Solve for x
    x = 61,410,079,306.19/256,238.84
  6. Step 6: Final answer
    x = 239,659.53

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1.5x scale

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.