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Finding the Fourth Proportional to 417,665.18, 576,378.37 and 226,678.66

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Solution

The fourth proportional to 417,665.18, 576,378.37 and 226,678.66 is: 312,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,665.18 : 576,378.37 = 226,678.66 : x
  2. Step 2: Convert to fraction form
    417,665.18/576,378.37 = 226,678.66/x
  3. Step 3: Cross multiply
    417,665.18x = 576,378.37 × 226,678.66
  4. Step 4: Simplify right side
    417,665.18x = 130,652,675,406.99
  5. Step 5: Solve for x
    x = 130,652,675,406.99/417,665.18
  6. Step 6: Final answer
    x = 312,816.77

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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.