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Finding the Fourth Proportional to 378,714.60, 522,672.45 and 217,569.35

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Solution

The fourth proportional to 378,714.60, 522,672.45 and 217,569.35 is: 300,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,714.60 : 522,672.45 = 217,569.35 : x
  2. Step 2: Convert to fraction form
    378,714.60/522,672.45 = 217,569.35/x
  3. Step 3: Cross multiply
    378,714.60x = 522,672.45 × 217,569.35
  4. Step 4: Simplify right side
    378,714.60x = 113,717,505,700.20
  5. Step 5: Solve for x
    x = 113,717,505,700.20/378,714.60
  6. Step 6: Final answer
    x = 300,272.30

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1.5x scale

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.