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Finding the Fourth Proportional to 378,445.78, 522,228.48 and 208,676.26

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Solution

The fourth proportional to 378,445.78, 522,228.48 and 208,676.26 is: 287,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,445.78 : 522,228.48 = 208,676.26 : x
  2. Step 2: Convert to fraction form
    378,445.78/522,228.48 = 208,676.26/x
  3. Step 3: Cross multiply
    378,445.78x = 522,228.48 × 208,676.26
  4. Step 4: Simplify right side
    378,445.78x = 108,976,686,071.89
  5. Step 5: Solve for x
    x = 108,976,686,071.89/378,445.78
  6. Step 6: Final answer
    x = 287,958.52

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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.