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Finding the Fourth Proportional to 517,360.89, 713,943.36 and 287,914.50

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Solution

The fourth proportional to 517,360.89, 713,943.36 and 287,914.50 is: 397,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,360.89 : 713,943.36 = 287,914.50 : x
  2. Step 2: Convert to fraction form
    517,360.89/713,943.36 = 287,914.50/x
  3. Step 3: Cross multiply
    517,360.89x = 713,943.36 × 287,914.50
  4. Step 4: Simplify right side
    517,360.89x = 205,554,645,522.72
  5. Step 5: Solve for x
    x = 205,554,645,522.72/517,360.89
  6. Step 6: Final answer
    x = 397,313.85

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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.