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Finding the Fourth Proportional to 280,354.72, 386,831.76 and 161,099.68

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Solution

The fourth proportional to 280,354.72, 386,831.76 and 161,099.68 is: 222,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,354.72 : 386,831.76 = 161,099.68 : x
  2. Step 2: Convert to fraction form
    280,354.72/386,831.76 = 161,099.68/x
  3. Step 3: Cross multiply
    280,354.72x = 386,831.76 × 161,099.68
  4. Step 4: Simplify right side
    280,354.72x = 62,318,472,749.84
  5. Step 5: Solve for x
    x = 62,318,472,749.84/280,354.72
  6. Step 6: Final answer
    x = 222,284.37

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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.