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Finding the Fourth Proportional to 342,614.21, 472,801.87 and 189,649.11

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Solution

The fourth proportional to 342,614.21, 472,801.87 and 189,649.11 is: 261,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,614.21 : 472,801.87 = 189,649.11 : x
  2. Step 2: Convert to fraction form
    342,614.21/472,801.87 = 189,649.11/x
  3. Step 3: Cross multiply
    342,614.21x = 472,801.87 × 189,649.11
  4. Step 4: Simplify right side
    342,614.21x = 89,666,452,315.89
  5. Step 5: Solve for x
    x = 89,666,452,315.89/342,614.21
  6. Step 6: Final answer
    x = 261,712.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.