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Finding the Fourth Proportional to 513,133.83, 708,103.79 and 283,676.52

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Solution

The fourth proportional to 513,133.83, 708,103.79 and 283,676.52 is: 391,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,133.83 : 708,103.79 = 283,676.52 : x
  2. Step 2: Convert to fraction form
    513,133.83/708,103.79 = 283,676.52/x
  3. Step 3: Cross multiply
    513,133.83x = 708,103.79 × 283,676.52
  4. Step 4: Simplify right side
    513,133.83x = 200,872,419,655.20
  5. Step 5: Solve for x
    x = 200,872,419,655.20/513,133.83
  6. Step 6: Final answer
    x = 391,462.05

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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.