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Finding the Fourth Proportional to 513,169.96, 708,162.31 and 286,836.52

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Solution

The fourth proportional to 513,169.96, 708,162.31 and 286,836.52 is: 395,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,169.96 : 708,162.31 = 286,836.52 : x
  2. Step 2: Convert to fraction form
    513,169.96/708,162.31 = 286,836.52/x
  3. Step 3: Cross multiply
    513,169.96x = 708,162.31 × 286,836.52
  4. Step 4: Simplify right side
    513,169.96x = 203,126,812,595.56
  5. Step 5: Solve for x
    x = 203,126,812,595.56/513,169.96
  6. Step 6: Final answer
    x = 395,827.56

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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.