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Finding the Fourth Proportional to 417,705.54, 576,434.16 and 226,719

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Solution

The fourth proportional to 417,705.54, 576,434.16 and 226,719 is: 312,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,705.54 : 576,434.16 = 226,719 : x
  2. Step 2: Convert to fraction form
    417,705.54/576,434.16 = 226,719/x
  3. Step 3: Cross multiply
    417,705.54x = 576,434.16 × 226,719
  4. Step 4: Simplify right side
    417,705.54x = 130,688,576,321.04
  5. Step 5: Solve for x
    x = 130,688,576,321.04/417,705.54
  6. Step 6: Final answer
    x = 312,872.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.