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Finding the Fourth Proportional to 378,742.25, 522,675.25 and 208,987.31

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Solution

The fourth proportional to 378,742.25, 522,675.25 and 208,987.31 is: 288,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,742.25 : 522,675.25 = 208,987.31 : x
  2. Step 2: Convert to fraction form
    378,742.25/522,675.25 = 208,987.31/x
  3. Step 3: Cross multiply
    378,742.25x = 522,675.25 × 208,987.31
  4. Step 4: Simplify right side
    378,742.25x = 109,232,495,285.30
  5. Step 5: Solve for x
    x = 109,232,495,285.30/378,742.25
  6. Step 6: Final answer
    x = 288,408.53

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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.