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Finding the Fourth Proportional to 307,267.65, 423,788.94 and 199,871.96

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Solution

The fourth proportional to 307,267.65, 423,788.94 and 199,871.96 is: 275,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,267.65 : 423,788.94 = 199,871.96 : x
  2. Step 2: Convert to fraction form
    307,267.65/423,788.94 = 199,871.96/x
  3. Step 3: Cross multiply
    307,267.65x = 423,788.94 × 199,871.96
  4. Step 4: Simplify right side
    307,267.65x = 84,703,523,945.18
  5. Step 5: Solve for x
    x = 84,703,523,945.18/307,267.65
  6. Step 6: Final answer
    x = 275,666.91

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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.