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Finding the Fourth Proportional to 307,709.98, 461,730.70 and 149,938.43

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Solution

The fourth proportional to 307,709.98, 461,730.70 and 149,938.43 is: 224,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,709.98 : 461,730.70 = 149,938.43 : x
  2. Step 2: Convert to fraction form
    307,709.98/461,730.70 = 149,938.43/x
  3. Step 3: Cross multiply
    307,709.98x = 461,730.70 × 149,938.43
  4. Step 4: Simplify right side
    307,709.98x = 69,231,174,119.57
  5. Step 5: Solve for x
    x = 69,231,174,119.57/307,709.98
  6. Step 6: Final answer
    x = 224,988.40

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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.