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Finding the Fourth Proportional to 340,917.16, 470,446.50 and 187,950.28

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Solution

The fourth proportional to 340,917.16, 470,446.50 and 187,950.28 is: 259,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,917.16 : 470,446.50 = 187,950.28 : x
  2. Step 2: Convert to fraction form
    340,917.16/470,446.50 = 187,950.28/x
  3. Step 3: Cross multiply
    340,917.16x = 470,446.50 × 187,950.28
  4. Step 4: Simplify right side
    340,917.16x = 88,420,551,400.02
  5. Step 5: Solve for x
    x = 88,420,551,400.02/340,917.16
  6. Step 6: Final answer
    x = 259,360.81

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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.