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Finding the Fourth Proportional to 509,452.62, 703,018.94 and 283,093.26

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Solution

The fourth proportional to 509,452.62, 703,018.94 and 283,093.26 is: 390,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,452.62 : 703,018.94 = 283,093.26 : x
  2. Step 2: Convert to fraction form
    509,452.62/703,018.94 = 283,093.26/x
  3. Step 3: Cross multiply
    509,452.62x = 703,018.94 × 283,093.26
  4. Step 4: Simplify right side
    509,452.62x = 199,019,922,150.88
  5. Step 5: Solve for x
    x = 199,019,922,150.88/509,452.62
  6. Step 6: Final answer
    x = 390,654.43

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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.