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Finding the Fourth Proportional to 402,859.20, 604,375.20 and 122,404.80

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Solution

The fourth proportional to 402,859.20, 604,375.20 and 122,404.80 is: 183,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,859.20 : 604,375.20 = 122,404.80 : x
  2. Step 2: Convert to fraction form
    402,859.20/604,375.20 = 122,404.80/x
  3. Step 3: Cross multiply
    402,859.20x = 604,375.20 × 122,404.80
  4. Step 4: Simplify right side
    402,859.20x = 73,978,425,480.96
  5. Step 5: Solve for x
    x = 73,978,425,480.96/402,859.20
  6. Step 6: Final answer
    x = 183,633.45

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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.