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Finding the Fourth Proportional to 320,661.86, 442,320.60 and 211,767.20

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Solution

The fourth proportional to 320,661.86, 442,320.60 and 211,767.20 is: 292,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,661.86 : 442,320.60 = 211,767.20 : x
  2. Step 2: Convert to fraction form
    320,661.86/442,320.60 = 211,767.20/x
  3. Step 3: Cross multiply
    320,661.86x = 442,320.60 × 211,767.20
  4. Step 4: Simplify right side
    320,661.86x = 93,668,994,964.32
  5. Step 5: Solve for x
    x = 93,668,994,964.32/320,661.86
  6. Step 6: Final answer
    x = 292,111.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.