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Finding the Fourth Proportional to 429,210.86, 642,563.81 and 321,617.12

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Solution

The fourth proportional to 429,210.86, 642,563.81 and 321,617.12 is: 481,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,210.86 : 642,563.81 = 321,617.12 : x
  2. Step 2: Convert to fraction form
    429,210.86/642,563.81 = 321,617.12/x
  3. Step 3: Cross multiply
    429,210.86x = 642,563.81 × 321,617.12
  4. Step 4: Simplify right side
    429,210.86x = 206,659,521,986.75
  5. Step 5: Solve for x
    x = 206,659,521,986.75/429,210.86
  6. Step 6: Final answer
    x = 481,487.17

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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.