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Finding the Fourth Proportional to 280,838.81, 421,258.22 and 93,850.31

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Solution

The fourth proportional to 280,838.81, 421,258.22 and 93,850.31 is: 140,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,838.81 : 421,258.22 = 93,850.31 : x
  2. Step 2: Convert to fraction form
    280,838.81/421,258.22 = 93,850.31/x
  3. Step 3: Cross multiply
    280,838.81x = 421,258.22 × 93,850.31
  4. Step 4: Simplify right side
    280,838.81x = 39,535,215,472.88
  5. Step 5: Solve for x
    x = 39,535,215,472.88/280,838.81
  6. Step 6: Final answer
    x = 140,775.47

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1.5x scale

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.