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Finding the Fourth Proportional to 256,643.80, 385,621.80 and 227,775.40

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Solution

The fourth proportional to 256,643.80, 385,621.80 and 227,775.40 is: 342,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,643.80 : 385,621.80 = 227,775.40 : x
  2. Step 2: Convert to fraction form
    256,643.80/385,621.80 = 227,775.40/x
  3. Step 3: Cross multiply
    256,643.80x = 385,621.80 × 227,775.40
  4. Step 4: Simplify right side
    256,643.80x = 87,835,159,743.72
  5. Step 5: Solve for x
    x = 87,835,159,743.72/256,643.80
  6. Step 6: Final answer
    x = 342,245.40

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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.