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Finding the Fourth Proportional to 493,319.71, 739,851.12 and 208,863.84

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Solution

The fourth proportional to 493,319.71, 739,851.12 and 208,863.84 is: 313,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,319.71 : 739,851.12 = 208,863.84 : x
  2. Step 2: Convert to fraction form
    493,319.71/739,851.12 = 208,863.84/x
  3. Step 3: Cross multiply
    493,319.71x = 739,851.12 × 208,863.84
  4. Step 4: Simplify right side
    493,319.71x = 154,528,147,648.30
  5. Step 5: Solve for x
    x = 154,528,147,648.30/493,319.71
  6. Step 6: Final answer
    x = 313,241.38

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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.