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Finding the Fourth Proportional to 354,418.70, 531,225.74 and 311,641.34

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Solution

The fourth proportional to 354,418.70, 531,225.74 and 311,641.34 is: 467,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,418.70 : 531,225.74 = 311,641.34 : x
  2. Step 2: Convert to fraction form
    354,418.70/531,225.74 = 311,641.34/x
  3. Step 3: Cross multiply
    354,418.70x = 531,225.74 × 311,641.34
  4. Step 4: Simplify right side
    354,418.70x = 165,551,901,456.09
  5. Step 5: Solve for x
    x = 165,551,901,456.09/354,418.70
  6. Step 6: Final answer
    x = 467,108.26

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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.