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Finding the Fourth Proportional to 513,652.28, 708,826.49 and 284,203.58

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Solution

The fourth proportional to 513,652.28, 708,826.49 and 284,203.58 is: 392,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,652.28 : 708,826.49 = 284,203.58 : x
  2. Step 2: Convert to fraction form
    513,652.28/708,826.49 = 284,203.58/x
  3. Step 3: Cross multiply
    513,652.28x = 708,826.49 × 284,203.58
  4. Step 4: Simplify right side
    513,652.28x = 201,451,021,091.68
  5. Step 5: Solve for x
    x = 201,451,021,091.68/513,652.28
  6. Step 6: Final answer
    x = 392,193.38

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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.