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Finding the Fourth Proportional to 340,249, 469,543.62 and 189,346.12

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Solution

The fourth proportional to 340,249, 469,543.62 and 189,346.12 is: 261,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,249 : 469,543.62 = 189,346.12 : x
  2. Step 2: Convert to fraction form
    340,249/469,543.62 = 189,346.12/x
  3. Step 3: Cross multiply
    340,249x = 469,543.62 × 189,346.12
  4. Step 4: Simplify right side
    340,249x = 88,906,262,617.75
  5. Step 5: Solve for x
    x = 88,906,262,617.75/340,249
  6. Step 6: Final answer
    x = 261,297.65

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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.