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Finding the Fourth Proportional to 647,718.10, 970,864.35 and 226,777.30

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Solution

The fourth proportional to 647,718.10, 970,864.35 and 226,777.30 is: 339,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,718.10 : 970,864.35 = 226,777.30 : x
  2. Step 2: Convert to fraction form
    647,718.10/970,864.35 = 226,777.30/x
  3. Step 3: Cross multiply
    647,718.10x = 970,864.35 × 226,777.30
  4. Step 4: Simplify right side
    647,718.10x = 220,169,995,959.26
  5. Step 5: Solve for x
    x = 220,169,995,959.26/647,718.10
  6. Step 6: Final answer
    x = 339,916.39

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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.