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Finding the Fourth Proportional to 427,168.91, 640,437 and 258,649.62

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Solution

The fourth proportional to 427,168.91, 640,437 and 258,649.62 is: 387,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,168.91 : 640,437 = 258,649.62 : x
  2. Step 2: Convert to fraction form
    427,168.91/640,437 = 258,649.62/x
  3. Step 3: Cross multiply
    427,168.91x = 640,437 × 258,649.62
  4. Step 4: Simplify right side
    427,168.91x = 165,648,786,683.94
  5. Step 5: Solve for x
    x = 165,648,786,683.94/427,168.91
  6. Step 6: Final answer
    x = 387,782.88

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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.