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Finding the Fourth Proportional to 307,998, 462,181.32 and 132,894

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Solution

The fourth proportional to 307,998, 462,181.32 and 132,894 is: 199,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,998 : 462,181.32 = 132,894 : x
  2. Step 2: Convert to fraction form
    307,998/462,181.32 = 132,894/x
  3. Step 3: Cross multiply
    307,998x = 462,181.32 × 132,894
  4. Step 4: Simplify right side
    307,998x = 61,421,124,340.08
  5. Step 5: Solve for x
    x = 61,421,124,340.08/307,998
  6. Step 6: Final answer
    x = 199,420.53

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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.