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Finding the Fourth Proportional to 288,946.50, 398,746.17 and 188,344.50

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Solution

The fourth proportional to 288,946.50, 398,746.17 and 188,344.50 is: 259,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,946.50 : 398,746.17 = 188,344.50 : x
  2. Step 2: Convert to fraction form
    288,946.50/398,746.17 = 188,344.50/x
  3. Step 3: Cross multiply
    288,946.50x = 398,746.17 × 188,344.50
  4. Step 4: Simplify right side
    288,946.50x = 75,101,648,015.57
  5. Step 5: Solve for x
    x = 75,101,648,015.57/288,946.50
  6. Step 6: Final answer
    x = 259,915.41

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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.