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Finding the Fourth Proportional to 417,916.52, 626,855.34 and 102,356.72

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Solution

The fourth proportional to 417,916.52, 626,855.34 and 102,356.72 is: 153,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,916.52 : 626,855.34 = 102,356.72 : x
  2. Step 2: Convert to fraction form
    417,916.52/626,855.34 = 102,356.72/x
  3. Step 3: Cross multiply
    417,916.52x = 626,855.34 × 102,356.72
  4. Step 4: Simplify right side
    417,916.52x = 64,162,856,516.88
  5. Step 5: Solve for x
    x = 64,162,856,516.88/417,916.52
  6. Step 6: Final answer
    x = 153,530.32

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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.