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Finding the Fourth Proportional to 256,828.80, 385,280.16 and 79,351.44

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Solution

The fourth proportional to 256,828.80, 385,280.16 and 79,351.44 is: 119,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,828.80 : 385,280.16 = 79,351.44 : x
  2. Step 2: Convert to fraction form
    256,828.80/385,280.16 = 79,351.44/x
  3. Step 3: Cross multiply
    256,828.80x = 385,280.16 × 79,351.44
  4. Step 4: Simplify right side
    256,828.80x = 30,572,535,499.43
  5. Step 5: Solve for x
    x = 30,572,535,499.43/256,828.80
  6. Step 6: Final answer
    x = 119,038.58

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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.