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Finding the Fourth Proportional to 397,323, 548,305.74 and 218,475

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Solution

The fourth proportional to 397,323, 548,305.74 and 218,475 is: 301,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,323 : 548,305.74 = 218,475 : x
  2. Step 2: Convert to fraction form
    397,323/548,305.74 = 218,475/x
  3. Step 3: Cross multiply
    397,323x = 548,305.74 × 218,475
  4. Step 4: Simplify right side
    397,323x = 119,791,096,546.50
  5. Step 5: Solve for x
    x = 119,791,096,546.50/397,323
  6. Step 6: Final answer
    x = 301,495.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.