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Finding the Fourth Proportional to 634,711.96, 952,071.20 and 213,991.48

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Solution

The fourth proportional to 634,711.96, 952,071.20 and 213,991.48 is: 320,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,711.96 : 952,071.20 = 213,991.48 : x
  2. Step 2: Convert to fraction form
    634,711.96/952,071.20 = 213,991.48/x
  3. Step 3: Cross multiply
    634,711.96x = 952,071.20 × 213,991.48
  4. Step 4: Simplify right side
    634,711.96x = 203,735,125,153.38
  5. Step 5: Solve for x
    x = 203,735,125,153.38/634,711.96
  6. Step 6: Final answer
    x = 320,988.32

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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.