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Finding the Fourth Proportional to 486,168.84, 729,331.20 and 205,688.52

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Solution

The fourth proportional to 486,168.84, 729,331.20 and 205,688.52 is: 308,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,168.84 : 729,331.20 = 205,688.52 : x
  2. Step 2: Convert to fraction form
    486,168.84/729,331.20 = 205,688.52/x
  3. Step 3: Cross multiply
    486,168.84x = 729,331.20 × 205,688.52
  4. Step 4: Simplify right side
    486,168.84x = 150,015,055,117.82
  5. Step 5: Solve for x
    x = 150,015,055,117.82/486,168.84
  6. Step 6: Final answer
    x = 308,565.75

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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.