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Finding the Fourth Proportional to 485,958.16, 729,209.40 and 205,685.20

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Solution

The fourth proportional to 485,958.16, 729,209.40 and 205,685.20 is: 308,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,958.16 : 729,209.40 = 205,685.20 : x
  2. Step 2: Convert to fraction form
    485,958.16/729,209.40 = 205,685.20/x
  3. Step 3: Cross multiply
    485,958.16x = 729,209.40 × 205,685.20
  4. Step 4: Simplify right side
    485,958.16x = 149,987,581,280.88
  5. Step 5: Solve for x
    x = 149,987,581,280.88/485,958.16
  6. Step 6: Final answer
    x = 308,642.99

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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.