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Finding the Fourth Proportional to 413,663.84, 620,629.47 and 203,154.15

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Solution

The fourth proportional to 413,663.84, 620,629.47 and 203,154.15 is: 304,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,663.84 : 620,629.47 = 203,154.15 : x
  2. Step 2: Convert to fraction form
    413,663.84/620,629.47 = 203,154.15/x
  3. Step 3: Cross multiply
    413,663.84x = 620,629.47 × 203,154.15
  4. Step 4: Simplify right side
    413,663.84x = 126,083,452,442.80
  5. Step 5: Solve for x
    x = 126,083,452,442.80/413,663.84
  6. Step 6: Final answer
    x = 304,796.89

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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.