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Finding the Fourth Proportional to 309,406.39, 464,241.90 and 129,533.83

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Solution

The fourth proportional to 309,406.39, 464,241.90 and 129,533.83 is: 194,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,406.39 : 464,241.90 = 129,533.83 : x
  2. Step 2: Convert to fraction form
    309,406.39/464,241.90 = 129,533.83/x
  3. Step 3: Cross multiply
    309,406.39x = 464,241.90 × 129,533.83
  4. Step 4: Simplify right side
    309,406.39x = 60,135,031,353.48
  5. Step 5: Solve for x
    x = 60,135,031,353.48/309,406.39
  6. Step 6: Final answer
    x = 194,356.14

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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.