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Finding the Fourth Proportional to 256,330.16, 384,160.81 and 185,491.41

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Solution

The fourth proportional to 256,330.16, 384,160.81 and 185,491.41 is: 277,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,330.16 : 384,160.81 = 185,491.41 : x
  2. Step 2: Convert to fraction form
    256,330.16/384,160.81 = 185,491.41/x
  3. Step 3: Cross multiply
    256,330.16x = 384,160.81 × 185,491.41
  4. Step 4: Simplify right side
    256,330.16x = 71,258,527,465.38
  5. Step 5: Solve for x
    x = 71,258,527,465.38/256,330.16
  6. Step 6: Final answer
    x = 277,995.10

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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.