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Finding the Fourth Proportional to 427,164.90, 640,431.00 and 258,645.62

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Solution

The fourth proportional to 427,164.90, 640,431.00 and 258,645.62 is: 387,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,164.90 : 640,431.00 = 258,645.62 : x
  2. Step 2: Convert to fraction form
    427,164.90/640,431.00 = 258,645.62/x
  3. Step 3: Cross multiply
    427,164.90x = 640,431.00 × 258,645.62
  4. Step 4: Simplify right side
    427,164.90x = 165,644,670,167.91
  5. Step 5: Solve for x
    x = 165,644,670,167.91/427,164.90
  6. Step 6: Final answer
    x = 387,776.87

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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.