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Finding the Fourth Proportional to 253,044.96, 348,975.84 and 209,956.20

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Solution

The fourth proportional to 253,044.96, 348,975.84 and 209,956.20 is: 289,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,044.96 : 348,975.84 = 209,956.20 : x
  2. Step 2: Convert to fraction form
    253,044.96/348,975.84 = 209,956.20/x
  3. Step 3: Cross multiply
    253,044.96x = 348,975.84 × 209,956.20
  4. Step 4: Simplify right side
    253,044.96x = 73,269,641,258.21
  5. Step 5: Solve for x
    x = 73,269,641,258.21/253,044.96
  6. Step 6: Final answer
    x = 289,551.87

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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.