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Finding the Fourth Proportional to 513,196.68, 708,233.04 and 286,842

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Solution

The fourth proportional to 513,196.68, 708,233.04 and 286,842 is: 395,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,196.68 : 708,233.04 = 286,842 : x
  2. Step 2: Convert to fraction form
    513,196.68/708,233.04 = 286,842/x
  3. Step 3: Cross multiply
    513,196.68x = 708,233.04 × 286,842
  4. Step 4: Simplify right side
    513,196.68x = 203,150,981,659.68
  5. Step 5: Solve for x
    x = 203,150,981,659.68/513,196.68
  6. Step 6: Final answer
    x = 395,854.05

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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.