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Finding the Fourth Proportional to 210,729.60, 315,316.80 and 192,067.20

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Solution

The fourth proportional to 210,729.60, 315,316.80 and 192,067.20 is: 287,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,729.60 : 315,316.80 = 192,067.20 : x
  2. Step 2: Convert to fraction form
    210,729.60/315,316.80 = 192,067.20/x
  3. Step 3: Cross multiply
    210,729.60x = 315,316.80 × 192,067.20
  4. Step 4: Simplify right side
    210,729.60x = 60,562,014,888.96
  5. Step 5: Solve for x
    x = 60,562,014,888.96/210,729.60
  6. Step 6: Final answer
    x = 287,392.06

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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.