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Finding the Fourth Proportional to 486,342, 729,516.24 and 153,918

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Solution

The fourth proportional to 486,342, 729,516.24 and 153,918 is: 230,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,342 : 729,516.24 = 153,918 : x
  2. Step 2: Convert to fraction form
    486,342/729,516.24 = 153,918/x
  3. Step 3: Cross multiply
    486,342x = 729,516.24 × 153,918
  4. Step 4: Simplify right side
    486,342x = 112,285,680,628.32
  5. Step 5: Solve for x
    x = 112,285,680,628.32/486,342
  6. Step 6: Final answer
    x = 230,878.03

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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.