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Finding the Fourth Proportional to 513,396, 770,405.08 and 217,908

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Solution

The fourth proportional to 513,396, 770,405.08 and 217,908 is: 326,994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,396 : 770,405.08 = 217,908 : x
  2. Step 2: Convert to fraction form
    513,396/770,405.08 = 217,908/x
  3. Step 3: Cross multiply
    513,396x = 770,405.08 × 217,908
  4. Step 4: Simplify right side
    513,396x = 167,877,430,172.64
  5. Step 5: Solve for x
    x = 167,877,430,172.64/513,396
  6. Step 6: Final answer
    x = 326,994.04

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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.