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Finding the Fourth Proportional to 209,323.60, 288,874.16 and 119,916.88

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Solution

The fourth proportional to 209,323.60, 288,874.16 and 119,916.88 is: 165,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,323.60 : 288,874.16 = 119,916.88 : x
  2. Step 2: Convert to fraction form
    209,323.60/288,874.16 = 119,916.88/x
  3. Step 3: Cross multiply
    209,323.60x = 288,874.16 × 119,916.88
  4. Step 4: Simplify right side
    209,323.60x = 34,640,887,979.82
  5. Step 5: Solve for x
    x = 34,640,887,979.82/209,323.60
  6. Step 6: Final answer
    x = 165,489.64

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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.