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Finding the Fourth Proportional to 513,381, 770,382.54 and 217,893

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Solution

The fourth proportional to 513,381, 770,382.54 and 217,893 is: 326,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,381 : 770,382.54 = 217,893 : x
  2. Step 2: Convert to fraction form
    513,381/770,382.54 = 217,893/x
  3. Step 3: Cross multiply
    513,381x = 770,382.54 × 217,893
  4. Step 4: Simplify right side
    513,381x = 167,860,962,788.22
  5. Step 5: Solve for x
    x = 167,860,962,788.22/513,381
  6. Step 6: Final answer
    x = 326,971.51

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1.5x scale

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.