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Finding the Fourth Proportional to 307,871.90, 461,807.85 and 201,583.70

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Solution

The fourth proportional to 307,871.90, 461,807.85 and 201,583.70 is: 302,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,871.90 : 461,807.85 = 201,583.70 : x
  2. Step 2: Convert to fraction form
    307,871.90/461,807.85 = 201,583.70/x
  3. Step 3: Cross multiply
    307,871.90x = 461,807.85 × 201,583.70
  4. Step 4: Simplify right side
    307,871.90x = 93,092,935,092.05
  5. Step 5: Solve for x
    x = 93,092,935,092.05/307,871.90
  6. Step 6: Final answer
    x = 302,375.55

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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.