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Finding the Fourth Proportional to 258,874.32, 388,311.16 and 81,396.84

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Solution

The fourth proportional to 258,874.32, 388,311.16 and 81,396.84 is: 122,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,874.32 : 388,311.16 = 81,396.84 : x
  2. Step 2: Convert to fraction form
    258,874.32/388,311.16 = 81,396.84/x
  3. Step 3: Cross multiply
    258,874.32x = 388,311.16 × 81,396.84
  4. Step 4: Simplify right side
    258,874.32x = 31,607,301,360.73
  5. Step 5: Solve for x
    x = 31,607,301,360.73/258,874.32
  6. Step 6: Final answer
    x = 122,095.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.