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Finding the Fourth Proportional to 309,530.76, 464,840.46 and 305,098.44

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Solution

The fourth proportional to 309,530.76, 464,840.46 and 305,098.44 is: 458,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,530.76 : 464,840.46 = 305,098.44 : x
  2. Step 2: Convert to fraction form
    309,530.76/464,840.46 = 305,098.44/x
  3. Step 3: Cross multiply
    309,530.76x = 464,840.46 × 305,098.44
  4. Step 4: Simplify right side
    309,530.76x = 141,822,099,194.88
  5. Step 5: Solve for x
    x = 141,822,099,194.88/309,530.76
  6. Step 6: Final answer
    x = 458,184.19

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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.