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Finding the Fourth Proportional to 397,630.50, 548,732.52 and 216,343.74

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Solution

The fourth proportional to 397,630.50, 548,732.52 and 216,343.74 is: 298,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,630.50 : 548,732.52 = 216,343.74 : x
  2. Step 2: Convert to fraction form
    397,630.50/548,732.52 = 216,343.74/x
  3. Step 3: Cross multiply
    397,630.50x = 548,732.52 × 216,343.74
  4. Step 4: Simplify right side
    397,630.50x = 118,714,845,636.43
  5. Step 5: Solve for x
    x = 118,714,845,636.43/397,630.50
  6. Step 6: Final answer
    x = 298,555.68

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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.