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Finding the Fourth Proportional to 246,200, 339,775.44 and 137,319.80

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Solution

The fourth proportional to 246,200, 339,775.44 and 137,319.80 is: 189,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,200 : 339,775.44 = 137,319.80 : x
  2. Step 2: Convert to fraction form
    246,200/339,775.44 = 137,319.80/x
  3. Step 3: Cross multiply
    246,200x = 339,775.44 × 137,319.80
  4. Step 4: Simplify right side
    246,200x = 46,657,895,465.71
  5. Step 5: Solve for x
    x = 46,657,895,465.71/246,200
  6. Step 6: Final answer
    x = 189,512.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.