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Finding the Fourth Proportional to 301,457, 416,012.28 and 188,345.36

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Solution

The fourth proportional to 301,457, 416,012.28 and 188,345.36 is: 259,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,457 : 416,012.28 = 188,345.36 : x
  2. Step 2: Convert to fraction form
    301,457/416,012.28 = 188,345.36/x
  3. Step 3: Cross multiply
    301,457x = 416,012.28 × 188,345.36
  4. Step 4: Simplify right side
    301,457x = 78,353,982,641.02
  5. Step 5: Solve for x
    x = 78,353,982,641.02/301,457
  6. Step 6: Final answer
    x = 259,917.61

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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.