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Finding the Fourth Proportional to 508,135.20, 761,716.80 and 188,201.40

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Solution

The fourth proportional to 508,135.20, 761,716.80 and 188,201.40 is: 282,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,135.20 : 761,716.80 = 188,201.40 : x
  2. Step 2: Convert to fraction form
    508,135.20/761,716.80 = 188,201.40/x
  3. Step 3: Cross multiply
    508,135.20x = 761,716.80 × 188,201.40
  4. Step 4: Simplify right side
    508,135.20x = 143,356,168,163.52
  5. Step 5: Solve for x
    x = 143,356,168,163.52/508,135.20
  6. Step 6: Final answer
    x = 282,122.10

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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.