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Finding the Fourth Proportional to 299,342.78, 413,436.70 and 218,033.31

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Solution

The fourth proportional to 299,342.78, 413,436.70 and 218,033.31 is: 301,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,342.78 : 413,436.70 = 218,033.31 : x
  2. Step 2: Convert to fraction form
    299,342.78/413,436.70 = 218,033.31/x
  3. Step 3: Cross multiply
    299,342.78x = 413,436.70 × 218,033.31
  4. Step 4: Simplify right side
    299,342.78x = 90,142,969,019.13
  5. Step 5: Solve for x
    x = 90,142,969,019.13/299,342.78
  6. Step 6: Final answer
    x = 301,136.28

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1.5x scale

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.