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Finding the Fourth Proportional to 307,534.70, 461,302.05 and 223,553.90

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Solution

The fourth proportional to 307,534.70, 461,302.05 and 223,553.90 is: 335,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,534.70 : 461,302.05 = 223,553.90 : x
  2. Step 2: Convert to fraction form
    307,534.70/461,302.05 = 223,553.90/x
  3. Step 3: Cross multiply
    307,534.70x = 461,302.05 × 223,553.90
  4. Step 4: Simplify right side
    307,534.70x = 103,125,872,355.50
  5. Step 5: Solve for x
    x = 103,125,872,355.50/307,534.70
  6. Step 6: Final answer
    x = 335,330.85

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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.