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Finding the Fourth Proportional to 256,389.76, 384,601.04 and 98,618.21

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Solution

The fourth proportional to 256,389.76, 384,601.04 and 98,618.21 is: 147,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,389.76 : 384,601.04 = 98,618.21 : x
  2. Step 2: Convert to fraction form
    256,389.76/384,601.04 = 98,618.21/x
  3. Step 3: Cross multiply
    256,389.76x = 384,601.04 × 98,618.21
  4. Step 4: Simplify right side
    256,389.76x = 37,928,665,247.55
  5. Step 5: Solve for x
    x = 37,928,665,247.55/256,389.76
  6. Step 6: Final answer
    x = 147,933.62

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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.