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Finding the Fourth Proportional to 208,434.30, 287,638.11 and 117,819.60

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Solution

The fourth proportional to 208,434.30, 287,638.11 and 117,819.60 is: 162,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,434.30 : 287,638.11 = 117,819.60 : x
  2. Step 2: Convert to fraction form
    208,434.30/287,638.11 = 117,819.60/x
  3. Step 3: Cross multiply
    208,434.30x = 287,638.11 × 117,819.60
  4. Step 4: Simplify right side
    208,434.30x = 33,889,407,064.96
  5. Step 5: Solve for x
    x = 33,889,407,064.96/208,434.30
  6. Step 6: Final answer
    x = 162,590.36

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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.