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Finding the Fourth Proportional to 517,357.88, 713,939.23 and 287,911.50

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Solution

The fourth proportional to 517,357.88, 713,939.23 and 287,911.50 is: 397,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,357.88 : 713,939.23 = 287,911.50 : x
  2. Step 2: Convert to fraction form
    517,357.88/713,939.23 = 287,911.50/x
  3. Step 3: Cross multiply
    517,357.88x = 713,939.23 × 287,911.50
  4. Step 4: Simplify right side
    517,357.88x = 205,551,314,618.15
  5. Step 5: Solve for x
    x = 205,551,314,618.15/517,357.88
  6. Step 6: Final answer
    x = 397,309.72

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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.