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Finding the Fourth Proportional to 217,402.50, 299,863.68 and 210,087

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Solution

The fourth proportional to 217,402.50, 299,863.68 and 210,087 is: 289,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,402.50 : 299,863.68 = 210,087 : x
  2. Step 2: Convert to fraction form
    217,402.50/299,863.68 = 210,087/x
  3. Step 3: Cross multiply
    217,402.50x = 299,863.68 × 210,087
  4. Step 4: Simplify right side
    217,402.50x = 62,997,460,940.16
  5. Step 5: Solve for x
    x = 62,997,460,940.16/217,402.50
  6. Step 6: Final answer
    x = 289,773.40

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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.