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Finding the Fourth Proportional to 702,723.72, 969,758.52 and 380,433.60

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Solution

The fourth proportional to 702,723.72, 969,758.52 and 380,433.60 is: 524,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,723.72 : 969,758.52 = 380,433.60 : x
  2. Step 2: Convert to fraction form
    702,723.72/969,758.52 = 380,433.60/x
  3. Step 3: Cross multiply
    702,723.72x = 969,758.52 × 380,433.60
  4. Step 4: Simplify right side
    702,723.72x = 368,928,724,894.27
  5. Step 5: Solve for x
    x = 368,928,724,894.27/702,723.72
  6. Step 6: Final answer
    x = 524,998.25

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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.