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Finding the Fourth Proportional to 256,294.80, 384,329.61 and 136,325.70

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Solution

The fourth proportional to 256,294.80, 384,329.61 and 136,325.70 is: 204,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,294.80 : 384,329.61 = 136,325.70 : x
  2. Step 2: Convert to fraction form
    256,294.80/384,329.61 = 136,325.70/x
  3. Step 3: Cross multiply
    256,294.80x = 384,329.61 × 136,325.70
  4. Step 4: Simplify right side
    256,294.80x = 52,394,003,113.98
  5. Step 5: Solve for x
    x = 52,394,003,113.98/256,294.80
  6. Step 6: Final answer
    x = 204,428.66

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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.