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Finding the Fourth Proportional to 370,764.86, 511,659.53 and 217,809.50

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Solution

The fourth proportional to 370,764.86, 511,659.53 and 217,809.50 is: 300,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,764.86 : 511,659.53 = 217,809.50 : x
  2. Step 2: Convert to fraction form
    370,764.86/511,659.53 = 217,809.50/x
  3. Step 3: Cross multiply
    370,764.86x = 511,659.53 × 217,809.50
  4. Step 4: Simplify right side
    370,764.86x = 111,444,306,233.20
  5. Step 5: Solve for x
    x = 111,444,306,233.20/370,764.86
  6. Step 6: Final answer
    x = 300,579.47

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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.