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Finding the Fourth Proportional to 513,181.50, 708,212.34 and 286,827

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Solution

The fourth proportional to 513,181.50, 708,212.34 and 286,827 is: 395,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,181.50 : 708,212.34 = 286,827 : x
  2. Step 2: Convert to fraction form
    513,181.50/708,212.34 = 286,827/x
  3. Step 3: Cross multiply
    513,181.50x = 708,212.34 × 286,827
  4. Step 4: Simplify right side
    513,181.50x = 203,134,420,845.18
  5. Step 5: Solve for x
    x = 203,134,420,845.18/513,181.50
  6. Step 6: Final answer
    x = 395,833.48

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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.