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Finding the Fourth Proportional to 513,394, 770,402.08 and 217,906

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Solution

The fourth proportional to 513,394, 770,402.08 and 217,906 is: 326,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,394 : 770,402.08 = 217,906 : x
  2. Step 2: Convert to fraction form
    513,394/770,402.08 = 217,906/x
  3. Step 3: Cross multiply
    513,394x = 770,402.08 × 217,906
  4. Step 4: Simplify right side
    513,394x = 167,875,235,644.48
  5. Step 5: Solve for x
    x = 167,875,235,644.48/513,394
  6. Step 6: Final answer
    x = 326,991.04

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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.