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Finding the Fourth Proportional to 646,801.88, 969,204.76 and 409,646.36

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Solution

The fourth proportional to 646,801.88, 969,204.76 and 409,646.36 is: 613,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,801.88 : 969,204.76 = 409,646.36 : x
  2. Step 2: Convert to fraction form
    646,801.88/969,204.76 = 409,646.36/x
  3. Step 3: Cross multiply
    646,801.88x = 969,204.76 × 409,646.36
  4. Step 4: Simplify right side
    646,801.88x = 397,031,203,427.57
  5. Step 5: Solve for x
    x = 397,031,203,427.57/646,801.88
  6. Step 6: Final answer
    x = 613,837.43

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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.