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Finding the Fourth Proportional to 340,459, 469,836.66 and 189,559.24

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Solution

The fourth proportional to 340,459, 469,836.66 and 189,559.24 is: 261,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,459 : 469,836.66 = 189,559.24 : x
  2. Step 2: Convert to fraction form
    340,459/469,836.66 = 189,559.24/x
  3. Step 3: Cross multiply
    340,459x = 469,836.66 × 189,559.24
  4. Step 4: Simplify right side
    340,459x = 89,061,880,193.74
  5. Step 5: Solve for x
    x = 89,061,880,193.74/340,459
  6. Step 6: Final answer
    x = 261,593.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.