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Finding the Fourth Proportional to 371,967.49, 513,320.27 and 202,205.26

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Solution

The fourth proportional to 371,967.49, 513,320.27 and 202,205.26 is: 279,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,967.49 : 513,320.27 = 202,205.26 : x
  2. Step 2: Convert to fraction form
    371,967.49/513,320.27 = 202,205.26/x
  3. Step 3: Cross multiply
    371,967.49x = 513,320.27 × 202,205.26
  4. Step 4: Simplify right side
    371,967.49x = 103,796,058,658.62
  5. Step 5: Solve for x
    x = 103,796,058,658.62/371,967.49
  6. Step 6: Final answer
    x = 279,046.05

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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.