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Finding the Fourth Proportional to 338,887.78, 508,335.32 and 102,232.51

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Solution

The fourth proportional to 338,887.78, 508,335.32 and 102,232.51 is: 153,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,887.78 : 508,335.32 = 102,232.51 : x
  2. Step 2: Convert to fraction form
    338,887.78/508,335.32 = 102,232.51/x
  3. Step 3: Cross multiply
    338,887.78x = 508,335.32 × 102,232.51
  4. Step 4: Simplify right side
    338,887.78x = 51,968,395,685.25
  5. Step 5: Solve for x
    x = 51,968,395,685.25/338,887.78
  6. Step 6: Final answer
    x = 153,349.87

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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.