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Finding the Fourth Proportional to 403,654, 557,059.80 and 224,806

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Solution

The fourth proportional to 403,654, 557,059.80 and 224,806 is: 310,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,654 : 557,059.80 = 224,806 : x
  2. Step 2: Convert to fraction form
    403,654/557,059.80 = 224,806/x
  3. Step 3: Cross multiply
    403,654x = 557,059.80 × 224,806
  4. Step 4: Simplify right side
    403,654x = 125,230,385,398.80
  5. Step 5: Solve for x
    x = 125,230,385,398.80/403,654
  6. Step 6: Final answer
    x = 310,241.90

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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.