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Finding the Fourth Proportional to 513,285.65, 708,338.73 and 283,858.35

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Solution

The fourth proportional to 513,285.65, 708,338.73 and 283,858.35 is: 391,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,285.65 : 708,338.73 = 283,858.35 : x
  2. Step 2: Convert to fraction form
    513,285.65/708,338.73 = 283,858.35/x
  3. Step 3: Cross multiply
    513,285.65x = 708,338.73 × 283,858.35
  4. Step 4: Simplify right side
    513,285.65x = 201,067,863,138.90
  5. Step 5: Solve for x
    x = 201,067,863,138.90/513,285.65
  6. Step 6: Final answer
    x = 391,727.03

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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.