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Finding the Fourth Proportional to 307,763.78, 461,808.21 and 218,384.05

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Solution

The fourth proportional to 307,763.78, 461,808.21 and 218,384.05 is: 327,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,763.78 : 461,808.21 = 218,384.05 : x
  2. Step 2: Convert to fraction form
    307,763.78/461,808.21 = 218,384.05/x
  3. Step 3: Cross multiply
    307,763.78x = 461,808.21 × 218,384.05
  4. Step 4: Simplify right side
    307,763.78x = 100,851,547,139.16
  5. Step 5: Solve for x
    x = 100,851,547,139.16/307,763.78
  6. Step 6: Final answer
    x = 327,691.41

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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.