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Finding the Fourth Proportional to 256,806.84, 384,648.53 and 130,228.95

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Solution

The fourth proportional to 256,806.84, 384,648.53 and 130,228.95 is: 195,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,806.84 : 384,648.53 = 130,228.95 : x
  2. Step 2: Convert to fraction form
    256,806.84/384,648.53 = 130,228.95/x
  3. Step 3: Cross multiply
    256,806.84x = 384,648.53 × 130,228.95
  4. Step 4: Simplify right side
    256,806.84x = 50,092,373,529.80
  5. Step 5: Solve for x
    x = 50,092,373,529.80/256,806.84
  6. Step 6: Final answer
    x = 195,058.56

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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.