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Finding the Fourth Proportional to 309,680.40, 463,346.10 and 183,388.44

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Solution

The fourth proportional to 309,680.40, 463,346.10 and 183,388.44 is: 274,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,680.40 : 463,346.10 = 183,388.44 : x
  2. Step 2: Convert to fraction form
    309,680.40/463,346.10 = 183,388.44/x
  3. Step 3: Cross multiply
    309,680.40x = 463,346.10 × 183,388.44
  4. Step 4: Simplify right side
    309,680.40x = 84,972,318,459.08
  5. Step 5: Solve for x
    x = 84,972,318,459.08/309,680.40
  6. Step 6: Final answer
    x = 274,387.14

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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.