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Finding the Fourth Proportional to 253,907.39, 380,898 and 135,514.15

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Solution

The fourth proportional to 253,907.39, 380,898 and 135,514.15 is: 203,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,907.39 : 380,898 = 135,514.15 : x
  2. Step 2: Convert to fraction form
    253,907.39/380,898 = 135,514.15/x
  3. Step 3: Cross multiply
    253,907.39x = 380,898 × 135,514.15
  4. Step 4: Simplify right side
    253,907.39x = 51,617,066,802.21
  5. Step 5: Solve for x
    x = 51,617,066,802.21/253,907.39
  6. Step 6: Final answer
    x = 203,290.92

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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.