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Finding the Fourth Proportional to 256,428.81, 384,686.96 and 114,325.65

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Solution

The fourth proportional to 256,428.81, 384,686.96 and 114,325.65 is: 171,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,428.81 : 384,686.96 = 114,325.65 : x
  2. Step 2: Convert to fraction form
    256,428.81/384,686.96 = 114,325.65/x
  3. Step 3: Cross multiply
    256,428.81x = 384,686.96 × 114,325.65
  4. Step 4: Simplify right side
    256,428.81x = 43,979,586,176.90
  5. Step 5: Solve for x
    x = 43,979,586,176.90/256,428.81
  6. Step 6: Final answer
    x = 171,507.98

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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.