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Finding the Fourth Proportional to 340,952.72, 470,716.34 and 303,122.25

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Solution

The fourth proportional to 340,952.72, 470,716.34 and 303,122.25 is: 418,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,952.72 : 470,716.34 = 303,122.25 : x
  2. Step 2: Convert to fraction form
    340,952.72/470,716.34 = 303,122.25/x
  3. Step 3: Cross multiply
    340,952.72x = 470,716.34 × 303,122.25
  4. Step 4: Simplify right side
    340,952.72x = 142,684,594,576.95
  5. Step 5: Solve for x
    x = 142,684,594,576.95/340,952.72
  6. Step 6: Final answer
    x = 418,487.93

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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.