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Finding the Fourth Proportional to 513,757.44, 708,984.24 and 287,402.94

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Solution

The fourth proportional to 513,757.44, 708,984.24 and 287,402.94 is: 396,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,757.44 : 708,984.24 = 287,402.94 : x
  2. Step 2: Convert to fraction form
    513,757.44/708,984.24 = 287,402.94/x
  3. Step 3: Cross multiply
    513,757.44x = 708,984.24 × 287,402.94
  4. Step 4: Simplify right side
    513,757.44x = 203,764,154,989.67
  5. Step 5: Solve for x
    x = 203,764,154,989.67/513,757.44
  6. Step 6: Final answer
    x = 396,615.48

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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.