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Finding the Fourth Proportional to 263,153.86, 363,154.37 and 145,284.46

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Solution

The fourth proportional to 263,153.86, 363,154.37 and 145,284.46 is: 200,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,153.86 : 363,154.37 = 145,284.46 : x
  2. Step 2: Convert to fraction form
    263,153.86/363,154.37 = 145,284.46/x
  3. Step 3: Cross multiply
    263,153.86x = 363,154.37 × 145,284.46
  4. Step 4: Simplify right side
    263,153.86x = 52,760,684,907.78
  5. Step 5: Solve for x
    x = 52,760,684,907.78/263,153.86
  6. Step 6: Final answer
    x = 200,493.68

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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.