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Finding the Fourth Proportional to 280,242.54, 386,743.23 and 159,401.22

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Solution

The fourth proportional to 280,242.54, 386,743.23 and 159,401.22 is: 219,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,242.54 : 386,743.23 = 159,401.22 : x
  2. Step 2: Convert to fraction form
    280,242.54/386,743.23 = 159,401.22/x
  3. Step 3: Cross multiply
    280,242.54x = 386,743.23 × 159,401.22
  4. Step 4: Simplify right side
    280,242.54x = 61,647,342,688.74
  5. Step 5: Solve for x
    x = 61,647,342,688.74/280,242.54
  6. Step 6: Final answer
    x = 219,978.53

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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.