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Finding the Fourth Proportional to 256,828.60, 385,271.70 and 79,334.20

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Solution

The fourth proportional to 256,828.60, 385,271.70 and 79,334.20 is: 119,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,828.60 : 385,271.70 = 79,334.20 : x
  2. Step 2: Convert to fraction form
    256,828.60/385,271.70 = 79,334.20/x
  3. Step 3: Cross multiply
    256,828.60x = 385,271.70 × 79,334.20
  4. Step 4: Simplify right side
    256,828.60x = 30,565,222,102.14
  5. Step 5: Solve for x
    x = 30,565,222,102.14/256,828.60
  6. Step 6: Final answer
    x = 119,010.20

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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.