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Finding the Fourth Proportional to 339,386.49, 509,294.52 and 189,725.22

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Solution

The fourth proportional to 339,386.49, 509,294.52 and 189,725.22 is: 284,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,386.49 : 509,294.52 = 189,725.22 : x
  2. Step 2: Convert to fraction form
    339,386.49/509,294.52 = 189,725.22/x
  3. Step 3: Cross multiply
    339,386.49x = 509,294.52 × 189,725.22
  4. Step 4: Simplify right side
    339,386.49x = 96,626,014,851.79
  5. Step 5: Solve for x
    x = 96,626,014,851.79/339,386.49
  6. Step 6: Final answer
    x = 284,707.90

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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.