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Finding the Fourth Proportional to 256,404.30, 384,952.73 and 149,897.40

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Solution

The fourth proportional to 256,404.30, 384,952.73 and 149,897.40 is: 225,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,404.30 : 384,952.73 = 149,897.40 : x
  2. Step 2: Convert to fraction form
    256,404.30/384,952.73 = 149,897.40/x
  3. Step 3: Cross multiply
    256,404.30x = 384,952.73 × 149,897.40
  4. Step 4: Simplify right side
    256,404.30x = 57,703,412,600.42
  5. Step 5: Solve for x
    x = 57,703,412,600.42/256,404.30
  6. Step 6: Final answer
    x = 225,048.54

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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.