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Finding the Fourth Proportional to 615,463.20, 923,266.80 and 194,781.60

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Solution

The fourth proportional to 615,463.20, 923,266.80 and 194,781.60 is: 292,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,463.20 : 923,266.80 = 194,781.60 : x
  2. Step 2: Convert to fraction form
    615,463.20/923,266.80 = 194,781.60/x
  3. Step 3: Cross multiply
    615,463.20x = 923,266.80 × 194,781.60
  4. Step 4: Simplify right side
    615,463.20x = 179,835,384,530.88
  5. Step 5: Solve for x
    x = 179,835,384,530.88/615,463.20
  6. Step 6: Final answer
    x = 292,195.19

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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.