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Finding the Fourth Proportional to 256,009.82, 383,895.93 and 149,424.45

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Solution

The fourth proportional to 256,009.82, 383,895.93 and 149,424.45 is: 224,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,009.82 : 383,895.93 = 149,424.45 : x
  2. Step 2: Convert to fraction form
    256,009.82/383,895.93 = 149,424.45/x
  3. Step 3: Cross multiply
    256,009.82x = 383,895.93 × 149,424.45
  4. Step 4: Simplify right side
    256,009.82x = 57,363,438,197.49
  5. Step 5: Solve for x
    x = 57,363,438,197.49/256,009.82
  6. Step 6: Final answer
    x = 224,067.34

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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.