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Finding the Fourth Proportional to 417,936.72, 626,898.36 and 165,219.56

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Solution

The fourth proportional to 417,936.72, 626,898.36 and 165,219.56 is: 247,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,936.72 : 626,898.36 = 165,219.56 : x
  2. Step 2: Convert to fraction form
    417,936.72/626,898.36 = 165,219.56/x
  3. Step 3: Cross multiply
    417,936.72x = 626,898.36 × 165,219.56
  4. Step 4: Simplify right side
    417,936.72x = 103,575,868,812.04
  5. Step 5: Solve for x
    x = 103,575,868,812.04/417,936.72
  6. Step 6: Final answer
    x = 247,826.68

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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.