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Finding the Fourth Proportional to 407,615.76, 611,596.53 and 218,026.76

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Solution

The fourth proportional to 407,615.76, 611,596.53 and 218,026.76 is: 327,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,615.76 : 611,596.53 = 218,026.76 : x
  2. Step 2: Convert to fraction form
    407,615.76/611,596.53 = 218,026.76/x
  3. Step 3: Cross multiply
    407,615.76x = 611,596.53 × 218,026.76
  4. Step 4: Simplify right side
    407,615.76x = 133,344,406,805.16
  5. Step 5: Solve for x
    x = 133,344,406,805.16/407,615.76
  6. Step 6: Final answer
    x = 327,132.61

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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.