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Finding the Fourth Proportional to 345,489.84, 517,841.64 and 210,255.57

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Solution

The fourth proportional to 345,489.84, 517,841.64 and 210,255.57 is: 315,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,489.84 : 517,841.64 = 210,255.57 : x
  2. Step 2: Convert to fraction form
    345,489.84/517,841.64 = 210,255.57/x
  3. Step 3: Cross multiply
    345,489.84x = 517,841.64 × 210,255.57
  4. Step 4: Simplify right side
    345,489.84x = 108,879,089,187.94
  5. Step 5: Solve for x
    x = 108,879,089,187.94/345,489.84
  6. Step 6: Final answer
    x = 315,144.11

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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.