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Finding the Fourth Proportional to 268,573.40, 402,422.70 and 197,714.60

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Solution

The fourth proportional to 268,573.40, 402,422.70 and 197,714.60 is: 296,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,573.40 : 402,422.70 = 197,714.60 : x
  2. Step 2: Convert to fraction form
    268,573.40/402,422.70 = 197,714.60/x
  3. Step 3: Cross multiply
    268,573.40x = 402,422.70 × 197,714.60
  4. Step 4: Simplify right side
    268,573.40x = 79,564,843,161.42
  5. Step 5: Solve for x
    x = 79,564,843,161.42/268,573.40
  6. Step 6: Final answer
    x = 296,249.90

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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.