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Finding the Fourth Proportional to 517,205.60, 713,735.12 and 287,760.48

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Solution

The fourth proportional to 517,205.60, 713,735.12 and 287,760.48 is: 397,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,205.60 : 713,735.12 = 287,760.48 : x
  2. Step 2: Convert to fraction form
    517,205.60/713,735.12 = 287,760.48/x
  3. Step 3: Cross multiply
    517,205.60x = 713,735.12 × 287,760.48
  4. Step 4: Simplify right side
    517,205.60x = 205,384,760,724.06
  5. Step 5: Solve for x
    x = 205,384,760,724.06/517,205.60
  6. Step 6: Final answer
    x = 397,104.67

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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.