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Finding the Fourth Proportional to 399,142.50, 598,940.95 and 146,389.29

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Solution

The fourth proportional to 399,142.50, 598,940.95 and 146,389.29 is: 219,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,142.50 : 598,940.95 = 146,389.29 : x
  2. Step 2: Convert to fraction form
    399,142.50/598,940.95 = 146,389.29/x
  3. Step 3: Cross multiply
    399,142.50x = 598,940.95 × 146,389.29
  4. Step 4: Simplify right side
    399,142.50x = 87,678,540,422.43
  5. Step 5: Solve for x
    x = 87,678,540,422.43/399,142.50
  6. Step 6: Final answer
    x = 219,667.26

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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.