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Finding the Fourth Proportional to 650,143.36, 975,408.24 and 313,086.58

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Solution

The fourth proportional to 650,143.36, 975,408.24 and 313,086.58 is: 469,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,143.36 : 975,408.24 = 313,086.58 : x
  2. Step 2: Convert to fraction form
    650,143.36/975,408.24 = 313,086.58/x
  3. Step 3: Cross multiply
    650,143.36x = 975,408.24 × 313,086.58
  4. Step 4: Simplify right side
    650,143.36x = 305,387,229,965.42
  5. Step 5: Solve for x
    x = 305,387,229,965.42/650,143.36
  6. Step 6: Final answer
    x = 469,722.91

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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.