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Finding the Fourth Proportional to 320,053.86, 441,484.29 and 206,943.30

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Solution

The fourth proportional to 320,053.86, 441,484.29 and 206,943.30 is: 285,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,053.86 : 441,484.29 = 206,943.30 : x
  2. Step 2: Convert to fraction form
    320,053.86/441,484.29 = 206,943.30/x
  3. Step 3: Cross multiply
    320,053.86x = 441,484.29 × 206,943.30
  4. Step 4: Simplify right side
    320,053.86x = 91,362,215,870.76
  5. Step 5: Solve for x
    x = 91,362,215,870.76/320,053.86
  6. Step 6: Final answer
    x = 285,458.88

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1.5x scale

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.