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Finding the Fourth Proportional to 217,403.50, 299,865.06 and 210,088

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Solution

The fourth proportional to 217,403.50, 299,865.06 and 210,088 is: 289,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,403.50 : 299,865.06 = 210,088 : x
  2. Step 2: Convert to fraction form
    217,403.50/299,865.06 = 210,088/x
  3. Step 3: Cross multiply
    217,403.50x = 299,865.06 × 210,088
  4. Step 4: Simplify right side
    217,403.50x = 62,998,050,725.28
  5. Step 5: Solve for x
    x = 62,998,050,725.28/217,403.50
  6. Step 6: Final answer
    x = 289,774.78

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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.