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Finding the Fourth Proportional to 306,860.97, 460,077.51 and 135,989.61

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Solution

The fourth proportional to 306,860.97, 460,077.51 and 135,989.61 is: 203,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,860.97 : 460,077.51 = 135,989.61 : x
  2. Step 2: Convert to fraction form
    306,860.97/460,077.51 = 135,989.61/x
  3. Step 3: Cross multiply
    306,860.97x = 460,077.51 × 135,989.61
  4. Step 4: Simplify right side
    306,860.97x = 62,565,761,154.67
  5. Step 5: Solve for x
    x = 62,565,761,154.67/306,860.97
  6. Step 6: Final answer
    x = 203,889.60

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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.