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Finding the Fourth Proportional to 280,951.30, 387,680.97 and 166,233.46

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Solution

The fourth proportional to 280,951.30, 387,680.97 and 166,233.46 is: 229,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,951.30 : 387,680.97 = 166,233.46 : x
  2. Step 2: Convert to fraction form
    280,951.30/387,680.97 = 166,233.46/x
  3. Step 3: Cross multiply
    280,951.30x = 387,680.97 × 166,233.46
  4. Step 4: Simplify right side
    280,951.30x = 64,445,549,019.26
  5. Step 5: Solve for x
    x = 64,445,549,019.26/280,951.30
  6. Step 6: Final answer
    x = 229,383.35

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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.