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Finding the Fourth Proportional to 520,194.24, 717,912 and 293,880.96

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Solution

The fourth proportional to 520,194.24, 717,912 and 293,880.96 is: 405,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,194.24 : 717,912 = 293,880.96 : x
  2. Step 2: Convert to fraction form
    520,194.24/717,912 = 293,880.96/x
  3. Step 3: Cross multiply
    520,194.24x = 717,912 × 293,880.96
  4. Step 4: Simplify right side
    520,194.24x = 210,980,667,755.52
  5. Step 5: Solve for x
    x = 210,980,667,755.52/520,194.24
  6. Step 6: Final answer
    x = 405,580.55

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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.