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Finding the Fourth Proportional to 647,203.86, 970,945.93 and 247,844.65

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Solution

The fourth proportional to 647,203.86, 970,945.93 and 247,844.65 is: 371,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,203.86 : 970,945.93 = 247,844.65 : x
  2. Step 2: Convert to fraction form
    647,203.86/970,945.93 = 247,844.65/x
  3. Step 3: Cross multiply
    647,203.86x = 970,945.93 × 247,844.65
  4. Step 4: Simplify right side
    647,203.86x = 240,643,752,950.55
  5. Step 5: Solve for x
    x = 240,643,752,950.55/647,203.86
  6. Step 6: Final answer
    x = 371,820.64

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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.