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Finding the Fourth Proportional to 547,817, 821,725.50 and 148,457.74

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Solution

The fourth proportional to 547,817, 821,725.50 and 148,457.74 is: 222,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,817 : 821,725.50 = 148,457.74 : x
  2. Step 2: Convert to fraction form
    547,817/821,725.50 = 148,457.74/x
  3. Step 3: Cross multiply
    547,817x = 821,725.50 × 148,457.74
  4. Step 4: Simplify right side
    547,817x = 121,991,510,630.37
  5. Step 5: Solve for x
    x = 121,991,510,630.37/547,817
  6. Step 6: Final answer
    x = 222,686.61

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