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Finding the Fourth Proportional to 546,345.80, 818,817.34 and 261,609.70

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Solution

The fourth proportional to 546,345.80, 818,817.34 and 261,609.70 is: 392,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,345.80 : 818,817.34 = 261,609.70 : x
  2. Step 2: Convert to fraction form
    546,345.80/818,817.34 = 261,609.70/x
  3. Step 3: Cross multiply
    546,345.80x = 818,817.34 × 261,609.70
  4. Step 4: Simplify right side
    546,345.80x = 214,210,558,672.20
  5. Step 5: Solve for x
    x = 214,210,558,672.20/546,345.80
  6. Step 6: Final answer
    x = 392,078.71

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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.