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Finding the Fourth Proportional to 371,884.50, 513,170.64 and 210,764.16

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Solution

The fourth proportional to 371,884.50, 513,170.64 and 210,764.16 is: 290,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,884.50 : 513,170.64 = 210,764.16 : x
  2. Step 2: Convert to fraction form
    371,884.50/513,170.64 = 210,764.16/x
  3. Step 3: Cross multiply
    371,884.50x = 513,170.64 × 210,764.16
  4. Step 4: Simplify right side
    371,884.50x = 108,157,978,876.26
  5. Step 5: Solve for x
    x = 108,157,978,876.26/371,884.50
  6. Step 6: Final answer
    x = 290,837.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.