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Finding the Fourth Proportional to 685,140, 1,027,808.01 and 211,861.86

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Solution

The fourth proportional to 685,140, 1,027,808.01 and 211,861.86 is: 317,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,140 : 1,027,808.01 = 211,861.86 : x
  2. Step 2: Convert to fraction form
    685,140/1,027,808.01 = 211,861.86/x
  3. Step 3: Cross multiply
    685,140x = 1,027,808.01 × 211,861.86
  4. Step 4: Simplify right side
    685,140x = 217,753,316,721.50
  5. Step 5: Solve for x
    x = 217,753,316,721.50/685,140
  6. Step 6: Final answer
    x = 317,823.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.