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Finding the Fourth Proportional to 242,197.86, 361,746.69 and 219,367.47

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Solution

The fourth proportional to 242,197.86, 361,746.69 and 219,367.47 is: 327,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,197.86 : 361,746.69 = 219,367.47 : x
  2. Step 2: Convert to fraction form
    242,197.86/361,746.69 = 219,367.47/x
  3. Step 3: Cross multiply
    242,197.86x = 361,746.69 × 219,367.47
  4. Step 4: Simplify right side
    242,197.86x = 79,355,456,166.17
  5. Step 5: Solve for x
    x = 79,355,456,166.17/242,197.86
  6. Step 6: Final answer
    x = 327,647.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.