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Finding the Fourth Proportional to 663,611, 995,420.15 and 164,975

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Solution

The fourth proportional to 663,611, 995,420.15 and 164,975 is: 247,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,611 : 995,420.15 = 164,975 : x
  2. Step 2: Convert to fraction form
    663,611/995,420.15 = 164,975/x
  3. Step 3: Cross multiply
    663,611x = 995,420.15 × 164,975
  4. Step 4: Simplify right side
    663,611x = 164,219,438,421.38
  5. Step 5: Solve for x
    x = 164,219,438,421.38/663,611
  6. Step 6: Final answer
    x = 247,463.41

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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.