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Finding the Fourth Proportional to 393,057, 542,415.39 and 220,975.72

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Solution

The fourth proportional to 393,057, 542,415.39 and 220,975.72 is: 304,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,057 : 542,415.39 = 220,975.72 : x
  2. Step 2: Convert to fraction form
    393,057/542,415.39 = 220,975.72/x
  3. Step 3: Cross multiply
    393,057x = 542,415.39 × 220,975.72
  4. Step 4: Simplify right side
    393,057x = 119,860,631,344.33
  5. Step 5: Solve for x
    x = 119,860,631,344.33/393,057
  6. Step 6: Final answer
    x = 304,944.66

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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.