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Finding the Fourth Proportional to 306,997, 460,521.42 and 85,381

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Solution

The fourth proportional to 306,997, 460,521.42 and 85,381 is: 128,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,997 : 460,521.42 = 85,381 : x
  2. Step 2: Convert to fraction form
    306,997/460,521.42 = 85,381/x
  3. Step 3: Cross multiply
    306,997x = 460,521.42 × 85,381
  4. Step 4: Simplify right side
    306,997x = 39,319,779,361.02
  5. Step 5: Solve for x
    x = 39,319,779,361.02/306,997
  6. Step 6: Final answer
    x = 128,078.71

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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.