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Finding the Fourth Proportional to 339,574.62, 509,463.78 and 137,066.52

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Solution

The fourth proportional to 339,574.62, 509,463.78 and 137,066.52 is: 205,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,574.62 : 509,463.78 = 137,066.52 : x
  2. Step 2: Convert to fraction form
    339,574.62/509,463.78 = 137,066.52/x
  3. Step 3: Cross multiply
    339,574.62x = 509,463.78 × 137,066.52
  4. Step 4: Simplify right side
    339,574.62x = 69,830,427,390.65
  5. Step 5: Solve for x
    x = 69,830,427,390.65/339,574.62
  6. Step 6: Final answer
    x = 205,640.89

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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.