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Finding the Fourth Proportional to 513,115.50, 708,121.26 and 286,761

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Solution

The fourth proportional to 513,115.50, 708,121.26 and 286,761 is: 395,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,115.50 : 708,121.26 = 286,761 : x
  2. Step 2: Convert to fraction form
    513,115.50/708,121.26 = 286,761/x
  3. Step 3: Cross multiply
    513,115.50x = 708,121.26 × 286,761
  4. Step 4: Simplify right side
    513,115.50x = 203,061,560,638.86
  5. Step 5: Solve for x
    x = 203,061,560,638.86/513,115.50
  6. Step 6: Final answer
    x = 395,742.40

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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.