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Finding the Fourth Proportional to 486,178.84, 729,346.02 and 205,698.52

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Solution

The fourth proportional to 486,178.84, 729,346.02 and 205,698.52 is: 308,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,178.84 : 729,346.02 = 205,698.52 : x
  2. Step 2: Convert to fraction form
    486,178.84/729,346.02 = 205,698.52/x
  3. Step 3: Cross multiply
    486,178.84x = 729,346.02 × 205,698.52
  4. Step 4: Simplify right side
    486,178.84x = 150,025,396,881.89
  5. Step 5: Solve for x
    x = 150,025,396,881.89/486,178.84
  6. Step 6: Final answer
    x = 308,580.68

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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.