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Finding the Fourth Proportional to 338,140.70, 506,844.93 and 219,896.90

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Solution

The fourth proportional to 338,140.70, 506,844.93 and 219,896.90 is: 329,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,140.70 : 506,844.93 = 219,896.90 : x
  2. Step 2: Convert to fraction form
    338,140.70/506,844.93 = 219,896.90/x
  3. Step 3: Cross multiply
    338,140.70x = 506,844.93 × 219,896.90
  4. Step 4: Simplify right side
    338,140.70x = 111,453,628,887.72
  5. Step 5: Solve for x
    x = 111,453,628,887.72/338,140.70
  6. Step 6: Final answer
    x = 329,607.26

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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.