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Finding the Fourth Proportional to 517,263.95, 713,824.23 and 287,836.01

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Solution

The fourth proportional to 517,263.95, 713,824.23 and 287,836.01 is: 397,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,263.95 : 713,824.23 = 287,836.01 : x
  2. Step 2: Convert to fraction form
    517,263.95/713,824.23 = 287,836.01/x
  3. Step 3: Cross multiply
    517,263.95x = 713,824.23 × 287,836.01
  4. Step 4: Simplify right side
    517,263.95x = 205,464,314,635.40
  5. Step 5: Solve for x
    x = 205,464,314,635.40/517,263.95
  6. Step 6: Final answer
    x = 397,213.68

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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.