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Finding the Fourth Proportional to 210,419.02, 315,629.21 and 52,647.47

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Solution

The fourth proportional to 210,419.02, 315,629.21 and 52,647.47 is: 78,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,419.02 : 315,629.21 = 52,647.47 : x
  2. Step 2: Convert to fraction form
    210,419.02/315,629.21 = 52,647.47/x
  3. Step 3: Cross multiply
    210,419.02x = 315,629.21 × 52,647.47
  4. Step 4: Simplify right side
    210,419.02x = 16,617,079,364.60
  5. Step 5: Solve for x
    x = 16,617,079,364.60/210,419.02
  6. Step 6: Final answer
    x = 78,971.38

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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.