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Finding the Fourth Proportional to 258,675, 356,917.74 and 151,223.96

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Solution

The fourth proportional to 258,675, 356,917.74 and 151,223.96 is: 208,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,675 : 356,917.74 = 151,223.96 : x
  2. Step 2: Convert to fraction form
    258,675/356,917.74 = 151,223.96/x
  3. Step 3: Cross multiply
    258,675x = 356,917.74 × 151,223.96
  4. Step 4: Simplify right side
    258,675x = 53,974,514,037.05
  5. Step 5: Solve for x
    x = 53,974,514,037.05/258,675
  6. Step 6: Final answer
    x = 208,657.64

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1.5x scale

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.