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Finding the Fourth Proportional to 378,714.72, 522,642.12 and 208,959.84

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Solution

The fourth proportional to 378,714.72, 522,642.12 and 208,959.84 is: 288,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,714.72 : 522,642.12 = 208,959.84 : x
  2. Step 2: Convert to fraction form
    378,714.72/522,642.12 = 208,959.84/x
  3. Step 3: Cross multiply
    378,714.72x = 522,642.12 × 208,959.84
  4. Step 4: Simplify right side
    378,714.72x = 109,211,213,772.46
  5. Step 5: Solve for x
    x = 109,211,213,772.46/378,714.72
  6. Step 6: Final answer
    x = 288,373.30

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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.