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Finding the Fourth Proportional to 517,216.06, 713,761.68 and 287,783

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Solution

The fourth proportional to 517,216.06, 713,761.68 and 287,783 is: 397,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,216.06 : 713,761.68 = 287,783 : x
  2. Step 2: Convert to fraction form
    517,216.06/713,761.68 = 287,783/x
  3. Step 3: Cross multiply
    517,216.06x = 713,761.68 × 287,783
  4. Step 4: Simplify right side
    517,216.06x = 205,408,477,555.44
  5. Step 5: Solve for x
    x = 205,408,477,555.44/517,216.06
  6. Step 6: Final answer
    x = 397,142.50

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1.5x scale

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.