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Finding the Fourth Proportional to 339,281.64, 509,097.42 and 139,749.48

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Solution

The fourth proportional to 339,281.64, 509,097.42 and 139,749.48 is: 209,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,281.64 : 509,097.42 = 139,749.48 : x
  2. Step 2: Convert to fraction form
    339,281.64/509,097.42 = 139,749.48/x
  3. Step 3: Cross multiply
    339,281.64x = 509,097.42 × 139,749.48
  4. Step 4: Simplify right side
    339,281.64x = 71,146,099,714.34
  5. Step 5: Solve for x
    x = 71,146,099,714.34/339,281.64
  6. Step 6: Final answer
    x = 209,696.29

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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.