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Finding the Fourth Proportional to 513,366.60, 708,422.58 and 283,926

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Solution

The fourth proportional to 513,366.60, 708,422.58 and 283,926 is: 391,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,366.60 : 708,422.58 = 283,926 : x
  2. Step 2: Convert to fraction form
    513,366.60/708,422.58 = 283,926/x
  3. Step 3: Cross multiply
    513,366.60x = 708,422.58 × 283,926
  4. Step 4: Simplify right side
    513,366.60x = 201,139,589,449.08
  5. Step 5: Solve for x
    x = 201,139,589,449.08/513,366.60
  6. Step 6: Final answer
    x = 391,804.98

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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.