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Finding the Fourth Proportional to 340,997.31, 470,565.99 and 188,035.43

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Solution

The fourth proportional to 340,997.31, 470,565.99 and 188,035.43 is: 259,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,997.31 : 470,565.99 = 188,035.43 : x
  2. Step 2: Convert to fraction form
    340,997.31/470,565.99 = 188,035.43/x
  3. Step 3: Cross multiply
    340,997.31x = 470,565.99 × 188,035.43
  4. Step 4: Simplify right side
    340,997.31x = 88,483,075,920.20
  5. Step 5: Solve for x
    x = 88,483,075,920.20/340,997.31
  6. Step 6: Final answer
    x = 259,483.21

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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.