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Finding the Fourth Proportional to 340,382.90, 469,724.36 and 187,417.82

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Solution

The fourth proportional to 340,382.90, 469,724.36 and 187,417.82 is: 258,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,382.90 : 469,724.36 = 187,417.82 : x
  2. Step 2: Convert to fraction form
    340,382.90/469,724.36 = 187,417.82/x
  3. Step 3: Cross multiply
    340,382.90x = 469,724.36 × 187,417.82
  4. Step 4: Simplify right side
    340,382.90x = 88,034,715,552.10
  5. Step 5: Solve for x
    x = 88,034,715,552.10/340,382.90
  6. Step 6: Final answer
    x = 258,634.37

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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.