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Finding the Fourth Proportional to 248,853.28, 343,206 and 210,280

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Solution

The fourth proportional to 248,853.28, 343,206 and 210,280 is: 290,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,853.28 : 343,206 = 210,280 : x
  2. Step 2: Convert to fraction form
    248,853.28/343,206 = 210,280/x
  3. Step 3: Cross multiply
    248,853.28x = 343,206 × 210,280
  4. Step 4: Simplify right side
    248,853.28x = 72,169,357,680
  5. Step 5: Solve for x
    x = 72,169,357,680/248,853.28
  6. Step 6: Final answer
    x = 290,007.66

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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.