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Finding the Fourth Proportional to 387,196.36, 580,706.94 and 147,224.64

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Solution

The fourth proportional to 387,196.36, 580,706.94 and 147,224.64 is: 220,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,196.36 : 580,706.94 = 147,224.64 : x
  2. Step 2: Convert to fraction form
    387,196.36/580,706.94 = 147,224.64/x
  3. Step 3: Cross multiply
    387,196.36x = 580,706.94 × 147,224.64
  4. Step 4: Simplify right side
    387,196.36x = 85,494,370,187.00
  5. Step 5: Solve for x
    x = 85,494,370,187.00/387,196.36
  6. Step 6: Final answer
    x = 220,803.65

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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.