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Finding the Fourth Proportional to 393,210.94, 542,625.92 and 221,128.86

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Solution

The fourth proportional to 393,210.94, 542,625.92 and 221,128.86 is: 305,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,210.94 : 542,625.92 = 221,128.86 : x
  2. Step 2: Convert to fraction form
    393,210.94/542,625.92 = 221,128.86/x
  3. Step 3: Cross multiply
    393,210.94x = 542,625.92 × 221,128.86
  4. Step 4: Simplify right side
    393,210.94x = 119,990,251,096.05
  5. Step 5: Solve for x
    x = 119,990,251,096.05/393,210.94
  6. Step 6: Final answer
    x = 305,154.92

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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.