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Finding the Fourth Proportional to 501,405.60, 691,889.04 and 283,638

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Solution

The fourth proportional to 501,405.60, 691,889.04 and 283,638 is: 391,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,405.60 : 691,889.04 = 283,638 : x
  2. Step 2: Convert to fraction form
    501,405.60/691,889.04 = 283,638/x
  3. Step 3: Cross multiply
    501,405.60x = 691,889.04 × 283,638
  4. Step 4: Simplify right side
    501,405.60x = 196,246,023,527.52
  5. Step 5: Solve for x
    x = 196,246,023,527.52/501,405.60
  6. Step 6: Final answer
    x = 391,391.77

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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.