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Finding the Fourth Proportional to 260,742.60, 391,038.57 and 118,508.64

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Solution

The fourth proportional to 260,742.60, 391,038.57 and 118,508.64 is: 177,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,742.60 : 391,038.57 = 118,508.64 : x
  2. Step 2: Convert to fraction form
    260,742.60/391,038.57 = 118,508.64/x
  3. Step 3: Cross multiply
    260,742.60x = 391,038.57 × 118,508.64
  4. Step 4: Simplify right side
    260,742.60x = 46,341,449,118.24
  5. Step 5: Solve for x
    x = 46,341,449,118.24/260,742.60
  6. Step 6: Final answer
    x = 177,728.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.