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Finding the Fourth Proportional to 513,380, 770,381.04 and 217,892

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Solution

The fourth proportional to 513,380, 770,381.04 and 217,892 is: 326,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,380 : 770,381.04 = 217,892 : x
  2. Step 2: Convert to fraction form
    513,380/770,381.04 = 217,892/x
  3. Step 3: Cross multiply
    513,380x = 770,381.04 × 217,892
  4. Step 4: Simplify right side
    513,380x = 167,859,865,567.68
  5. Step 5: Solve for x
    x = 167,859,865,567.68/513,380
  6. Step 6: Final answer
    x = 326,970.01

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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.