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Finding the Fourth Proportional to 309,342.60, 463,958.28 and 140,822.64

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Solution

The fourth proportional to 309,342.60, 463,958.28 and 140,822.64 is: 211,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,342.60 : 463,958.28 = 140,822.64 : x
  2. Step 2: Convert to fraction form
    309,342.60/463,958.28 = 140,822.64/x
  3. Step 3: Cross multiply
    309,342.60x = 463,958.28 × 140,822.64
  4. Step 4: Simplify right side
    309,342.60x = 65,335,829,839.46
  5. Step 5: Solve for x
    x = 65,335,829,839.46/309,342.60
  6. Step 6: Final answer
    x = 211,208.64

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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.