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Finding the Fourth Proportional to 285,468.14, 428,202.22 and 119,139.50

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Solution

The fourth proportional to 285,468.14, 428,202.22 and 119,139.50 is: 178,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,468.14 : 428,202.22 = 119,139.50 : x
  2. Step 2: Convert to fraction form
    285,468.14/428,202.22 = 119,139.50/x
  3. Step 3: Cross multiply
    285,468.14x = 428,202.22 × 119,139.50
  4. Step 4: Simplify right side
    285,468.14x = 51,015,798,389.69
  5. Step 5: Solve for x
    x = 51,015,798,389.69/285,468.14
  6. Step 6: Final answer
    x = 178,709.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.