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Finding the Fourth Proportional to 486,343.50, 729,518.49 and 153,919.50

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Solution

The fourth proportional to 486,343.50, 729,518.49 and 153,919.50 is: 230,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,343.50 : 729,518.49 = 153,919.50 : x
  2. Step 2: Convert to fraction form
    486,343.50/729,518.49 = 153,919.50/x
  3. Step 3: Cross multiply
    486,343.50x = 729,518.49 × 153,919.50
  4. Step 4: Simplify right side
    486,343.50x = 112,287,121,221.56
  5. Step 5: Solve for x
    x = 112,287,121,221.56/486,343.50
  6. Step 6: Final answer
    x = 230,880.28

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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.