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Finding the Fourth Proportional to 256,821.84, 385,231.68 and 69,832.80

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Solution

The fourth proportional to 256,821.84, 385,231.68 and 69,832.80 is: 104,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,821.84 : 385,231.68 = 69,832.80 : x
  2. Step 2: Convert to fraction form
    256,821.84/385,231.68 = 69,832.80/x
  3. Step 3: Cross multiply
    256,821.84x = 385,231.68 × 69,832.80
  4. Step 4: Simplify right side
    256,821.84x = 26,901,806,863.10
  5. Step 5: Solve for x
    x = 26,901,806,863.10/256,821.84
  6. Step 6: Final answer
    x = 104,748.91

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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.