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Finding the Fourth Proportional to 369,979.17, 510,571.26 and 200,213.30

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Solution

The fourth proportional to 369,979.17, 510,571.26 and 200,213.30 is: 276,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,979.17 : 510,571.26 = 200,213.30 : x
  2. Step 2: Convert to fraction form
    369,979.17/510,571.26 = 200,213.30/x
  3. Step 3: Cross multiply
    369,979.17x = 510,571.26 × 200,213.30
  4. Step 4: Simplify right side
    369,979.17x = 102,223,154,691.12
  5. Step 5: Solve for x
    x = 102,223,154,691.12/369,979.17
  6. Step 6: Final answer
    x = 276,294.35

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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.