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Finding the Fourth Proportional to 258,467.83, 356,701.94 and 145,297.87

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Solution

The fourth proportional to 258,467.83, 356,701.94 and 145,297.87 is: 200,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,467.83 : 356,701.94 = 145,297.87 : x
  2. Step 2: Convert to fraction form
    258,467.83/356,701.94 = 145,297.87/x
  3. Step 3: Cross multiply
    258,467.83x = 356,701.94 × 145,297.87
  4. Step 4: Simplify right side
    258,467.83x = 51,828,032,106.87
  5. Step 5: Solve for x
    x = 51,828,032,106.87/258,467.83
  6. Step 6: Final answer
    x = 200,520.24

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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.