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Finding the Fourth Proportional to 513,107.76, 708,286.68 and 459,297.84

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Solution

The fourth proportional to 513,107.76, 708,286.68 and 459,297.84 is: 634,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,107.76 : 708,286.68 = 459,297.84 : x
  2. Step 2: Convert to fraction form
    513,107.76/708,286.68 = 459,297.84/x
  3. Step 3: Cross multiply
    513,107.76x = 708,286.68 × 459,297.84
  4. Step 4: Simplify right side
    513,107.76x = 325,314,542,224.77
  5. Step 5: Solve for x
    x = 325,314,542,224.77/513,107.76
  6. Step 6: Final answer
    x = 634,008.23

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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.