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Finding the Fourth Proportional to 256,505.40, 384,758.10 and 209,849.40

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Solution

The fourth proportional to 256,505.40, 384,758.10 and 209,849.40 is: 314,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,505.40 : 384,758.10 = 209,849.40 : x
  2. Step 2: Convert to fraction form
    256,505.40/384,758.10 = 209,849.40/x
  3. Step 3: Cross multiply
    256,505.40x = 384,758.10 × 209,849.40
  4. Step 4: Simplify right side
    256,505.40x = 80,741,256,430.14
  5. Step 5: Solve for x
    x = 80,741,256,430.14/256,505.40
  6. Step 6: Final answer
    x = 314,774.10

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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.