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Finding the Fourth Proportional to 508,927.20, 762,904.80 and 188,993.40

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Solution

The fourth proportional to 508,927.20, 762,904.80 and 188,993.40 is: 283,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,927.20 : 762,904.80 = 188,993.40 : x
  2. Step 2: Convert to fraction form
    508,927.20/762,904.80 = 188,993.40/x
  3. Step 3: Cross multiply
    508,927.20x = 762,904.80 × 188,993.40
  4. Step 4: Simplify right side
    508,927.20x = 144,183,972,028.32
  5. Step 5: Solve for x
    x = 144,183,972,028.32/508,927.20
  6. Step 6: Final answer
    x = 283,309.62

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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.