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Finding the Fourth Proportional to 256,530.40, 384,795.60 and 209,874.40

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Solution

The fourth proportional to 256,530.40, 384,795.60 and 209,874.40 is: 314,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,530.40 : 384,795.60 = 209,874.40 : x
  2. Step 2: Convert to fraction form
    256,530.40/384,795.60 = 209,874.40/x
  3. Step 3: Cross multiply
    256,530.40x = 384,795.60 × 209,874.40
  4. Step 4: Simplify right side
    256,530.40x = 80,758,745,672.64
  5. Step 5: Solve for x
    x = 80,758,745,672.64/256,530.40
  6. Step 6: Final answer
    x = 314,811.60

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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.