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Finding the Fourth Proportional to 338,858.16, 508,290.89 and 102,202.89

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Solution

The fourth proportional to 338,858.16, 508,290.89 and 102,202.89 is: 153,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,858.16 : 508,290.89 = 102,202.89 : x
  2. Step 2: Convert to fraction form
    338,858.16/508,290.89 = 102,202.89/x
  3. Step 3: Cross multiply
    338,858.16x = 508,290.89 × 102,202.89
  4. Step 4: Simplify right side
    338,858.16x = 51,948,794,866.20
  5. Step 5: Solve for x
    x = 51,948,794,866.20/338,858.16
  6. Step 6: Final answer
    x = 153,305.43

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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.