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Finding the Fourth Proportional to 340,907.29, 470,455.35 and 187,951.43

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Solution

The fourth proportional to 340,907.29, 470,455.35 and 187,951.43 is: 259,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,907.29 : 470,455.35 = 187,951.43 : x
  2. Step 2: Convert to fraction form
    340,907.29/470,455.35 = 187,951.43/x
  3. Step 3: Cross multiply
    340,907.29x = 470,455.35 × 187,951.43
  4. Step 4: Simplify right side
    340,907.29x = 88,422,754,268.62
  5. Step 5: Solve for x
    x = 88,422,754,268.62/340,907.29
  6. Step 6: Final answer
    x = 259,374.78

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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.