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Finding the Fourth Proportional to 487,100, 730,358.40 and 202,447.52

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Solution

The fourth proportional to 487,100, 730,358.40 and 202,447.52 is: 303,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,100 : 730,358.40 = 202,447.52 : x
  2. Step 2: Convert to fraction form
    487,100/730,358.40 = 202,447.52/x
  3. Step 3: Cross multiply
    487,100x = 730,358.40 × 202,447.52
  4. Step 4: Simplify right side
    487,100x = 147,859,246,791.17
  5. Step 5: Solve for x
    x = 147,859,246,791.17/487,100
  6. Step 6: Final answer
    x = 303,550.09

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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.