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Finding the Fourth Proportional to 632,871, 949,462.02 and 189,639

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Solution

The fourth proportional to 632,871, 949,462.02 and 189,639 is: 284,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,871 : 949,462.02 = 189,639 : x
  2. Step 2: Convert to fraction form
    632,871/949,462.02 = 189,639/x
  3. Step 3: Cross multiply
    632,871x = 949,462.02 × 189,639
  4. Step 4: Simplify right side
    632,871x = 180,055,028,010.78
  5. Step 5: Solve for x
    x = 180,055,028,010.78/632,871
  6. Step 6: Final answer
    x = 284,505.10

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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.