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Finding the Fourth Proportional to 339,758.96, 509,641.52 and 103,101.65

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Solution

The fourth proportional to 339,758.96, 509,641.52 and 103,101.65 is: 154,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,758.96 : 509,641.52 = 103,101.65 : x
  2. Step 2: Convert to fraction form
    339,758.96/509,641.52 = 103,101.65/x
  3. Step 3: Cross multiply
    339,758.96x = 509,641.52 × 103,101.65
  4. Step 4: Simplify right side
    339,758.96x = 52,544,878,556.79
  5. Step 5: Solve for x
    x = 52,544,878,556.79/339,758.96
  6. Step 6: Final answer
    x = 154,653.40

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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.