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Finding the Fourth Proportional to 256,020.21, 383,911.45 and 149,434.94

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Solution

The fourth proportional to 256,020.21, 383,911.45 and 149,434.94 is: 224,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,020.21 : 383,911.45 = 149,434.94 : x
  2. Step 2: Convert to fraction form
    256,020.21/383,911.45 = 149,434.94/x
  3. Step 3: Cross multiply
    256,020.21x = 383,911.45 × 149,434.94
  4. Step 4: Simplify right side
    256,020.21x = 57,369,785,082.25
  5. Step 5: Solve for x
    x = 57,369,785,082.25/256,020.21
  6. Step 6: Final answer
    x = 224,083.03

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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.