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Finding the Fourth Proportional to 256,064.80, 384,097.20 and 131,648.80

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Solution

The fourth proportional to 256,064.80, 384,097.20 and 131,648.80 is: 197,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,064.80 : 384,097.20 = 131,648.80 : x
  2. Step 2: Convert to fraction form
    256,064.80/384,097.20 = 131,648.80/x
  3. Step 3: Cross multiply
    256,064.80x = 384,097.20 × 131,648.80
  4. Step 4: Simplify right side
    256,064.80x = 50,565,935,463.36
  5. Step 5: Solve for x
    x = 50,565,935,463.36/256,064.80
  6. Step 6: Final answer
    x = 197,473.20

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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.