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Finding the Fourth Proportional to 208,987, 288,394.34 and 113,491.64

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Solution

The fourth proportional to 208,987, 288,394.34 and 113,491.64 is: 156,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,987 : 288,394.34 = 113,491.64 : x
  2. Step 2: Convert to fraction form
    208,987/288,394.34 = 113,491.64/x
  3. Step 3: Cross multiply
    208,987x = 288,394.34 × 113,491.64
  4. Step 4: Simplify right side
    208,987x = 32,730,346,613.32
  5. Step 5: Solve for x
    x = 32,730,346,613.32/208,987
  6. Step 6: Final answer
    x = 156,614.27

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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.