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Finding the Fourth Proportional to 520,120, 717,765.60 and 281,656

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Solution

The fourth proportional to 520,120, 717,765.60 and 281,656 is: 388,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,120 : 717,765.60 = 281,656 : x
  2. Step 2: Convert to fraction form
    520,120/717,765.60 = 281,656/x
  3. Step 3: Cross multiply
    520,120x = 717,765.60 × 281,656
  4. Step 4: Simplify right side
    520,120x = 202,162,987,833.60
  5. Step 5: Solve for x
    x = 202,162,987,833.60/520,120
  6. Step 6: Final answer
    x = 388,685.28

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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.