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Finding the Fourth Proportional to 340,850.16, 470,363.80 and 189,943.28

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Solution

The fourth proportional to 340,850.16, 470,363.80 and 189,943.28 is: 262,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,850.16 : 470,363.80 = 189,943.28 : x
  2. Step 2: Convert to fraction form
    340,850.16/470,363.80 = 189,943.28/x
  3. Step 3: Cross multiply
    340,850.16x = 470,363.80 × 189,943.28
  4. Step 4: Simplify right side
    340,850.16x = 89,342,442,965.26
  5. Step 5: Solve for x
    x = 89,342,442,965.26/340,850.16
  6. Step 6: Final answer
    x = 262,116.48

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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.