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Finding the Fourth Proportional to 511,773.72, 767,663.65 and 227,397.43

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Solution

The fourth proportional to 511,773.72, 767,663.65 and 227,397.43 is: 341,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,773.72 : 767,663.65 = 227,397.43 : x
  2. Step 2: Convert to fraction form
    511,773.72/767,663.65 = 227,397.43/x
  3. Step 3: Cross multiply
    511,773.72x = 767,663.65 × 227,397.43
  4. Step 4: Simplify right side
    511,773.72x = 174,564,738,679.69
  5. Step 5: Solve for x
    x = 174,564,738,679.69/511,773.72
  6. Step 6: Final answer
    x = 341,097.50

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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.