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Finding the Fourth Proportional to 203,478.78, 280,802.31 and 112,829.46

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Solution

The fourth proportional to 203,478.78, 280,802.31 and 112,829.46 is: 155,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478.78 : 280,802.31 = 112,829.46 : x
  2. Step 2: Convert to fraction form
    203,478.78/280,802.31 = 112,829.46/x
  3. Step 3: Cross multiply
    203,478.78x = 280,802.31 × 112,829.46
  4. Step 4: Simplify right side
    203,478.78x = 31,682,773,004.05
  5. Step 5: Solve for x
    x = 31,682,773,004.05/203,478.78
  6. Step 6: Final answer
    x = 155,705.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.