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Finding the Fourth Proportional to 491,302.47, 735,772.73 and 280,300.71

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Solution

The fourth proportional to 491,302.47, 735,772.73 and 280,300.71 is: 419,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,302.47 : 735,772.73 = 280,300.71 : x
  2. Step 2: Convert to fraction form
    491,302.47/735,772.73 = 280,300.71/x
  3. Step 3: Cross multiply
    491,302.47x = 735,772.73 × 280,300.71
  4. Step 4: Simplify right side
    491,302.47x = 206,237,617,216.14
  5. Step 5: Solve for x
    x = 206,237,617,216.14/491,302.47
  6. Step 6: Final answer
    x = 419,777.29

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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.