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Finding the Fourth Proportional to 280,446.60, 386,970.67 and 165,709.29

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Solution

The fourth proportional to 280,446.60, 386,970.67 and 165,709.29 is: 228,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,446.60 : 386,970.67 = 165,709.29 : x
  2. Step 2: Convert to fraction form
    280,446.60/386,970.67 = 165,709.29/x
  3. Step 3: Cross multiply
    280,446.60x = 386,970.67 × 165,709.29
  4. Step 4: Simplify right side
    280,446.60x = 64,124,635,702.69
  5. Step 5: Solve for x
    x = 64,124,635,702.69/280,446.60
  6. Step 6: Final answer
    x = 228,651.85

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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.