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Finding the Fourth Proportional to 339,090.80, 508,636.20 and 102,408.80

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Solution

The fourth proportional to 339,090.80, 508,636.20 and 102,408.80 is: 153,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,090.80 : 508,636.20 = 102,408.80 : x
  2. Step 2: Convert to fraction form
    339,090.80/508,636.20 = 102,408.80/x
  3. Step 3: Cross multiply
    339,090.80x = 508,636.20 × 102,408.80
  4. Step 4: Simplify right side
    339,090.80x = 52,088,822,878.56
  5. Step 5: Solve for x
    x = 52,088,822,878.56/339,090.80
  6. Step 6: Final answer
    x = 153,613.20

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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.