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Finding the Fourth Proportional to 513,471.06, 708,535.52 and 283,991.88

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Solution

The fourth proportional to 513,471.06, 708,535.52 and 283,991.88 is: 391,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,471.06 : 708,535.52 = 283,991.88 : x
  2. Step 2: Convert to fraction form
    513,471.06/708,535.52 = 283,991.88/x
  3. Step 3: Cross multiply
    513,471.06x = 708,535.52 × 283,991.88
  4. Step 4: Simplify right side
    513,471.06x = 201,218,334,371.58
  5. Step 5: Solve for x
    x = 201,218,334,371.58/513,471.06
  6. Step 6: Final answer
    x = 391,878.63

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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.