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Finding the Fourth Proportional to 309,645.45, 464,468.87 and 85,008.96

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Solution

The fourth proportional to 309,645.45, 464,468.87 and 85,008.96 is: 127,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,645.45 : 464,468.87 = 85,008.96 : x
  2. Step 2: Convert to fraction form
    309,645.45/464,468.87 = 85,008.96/x
  3. Step 3: Cross multiply
    309,645.45x = 464,468.87 × 85,008.96
  4. Step 4: Simplify right side
    309,645.45x = 39,484,015,803.60
  5. Step 5: Solve for x
    x = 39,484,015,803.60/309,645.45
  6. Step 6: Final answer
    x = 127,513.63

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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.