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Finding the Fourth Proportional to 340,090.70, 509,552.85 and 221,701.10

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Solution

The fourth proportional to 340,090.70, 509,552.85 and 221,701.10 is: 332,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,090.70 : 509,552.85 = 221,701.10 : x
  2. Step 2: Convert to fraction form
    340,090.70/509,552.85 = 221,701.10/x
  3. Step 3: Cross multiply
    340,090.70x = 509,552.85 × 221,701.10
  4. Step 4: Simplify right side
    340,090.70x = 112,968,427,353.14
  5. Step 5: Solve for x
    x = 112,968,427,353.14/340,090.70
  6. Step 6: Final answer
    x = 332,171.47

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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.