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Finding the Fourth Proportional to 378,283.68, 522,033.12 and 208,514.16

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Solution

The fourth proportional to 378,283.68, 522,033.12 and 208,514.16 is: 287,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,283.68 : 522,033.12 = 208,514.16 : x
  2. Step 2: Convert to fraction form
    378,283.68/522,033.12 = 208,514.16/x
  3. Step 3: Cross multiply
    378,283.68x = 522,033.12 × 208,514.16
  4. Step 4: Simplify right side
    378,283.68x = 108,851,297,508.98
  5. Step 5: Solve for x
    x = 108,851,297,508.98/378,283.68
  6. Step 6: Final answer
    x = 287,750.45

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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.