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Finding the Fourth Proportional to 311,470, 467,263.32 and 145,258

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Solution

The fourth proportional to 311,470, 467,263.32 and 145,258 is: 217,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,470 : 467,263.32 = 145,258 : x
  2. Step 2: Convert to fraction form
    311,470/467,263.32 = 145,258/x
  3. Step 3: Cross multiply
    311,470x = 467,263.32 × 145,258
  4. Step 4: Simplify right side
    311,470x = 67,873,735,336.56
  5. Step 5: Solve for x
    x = 67,873,735,336.56/311,470
  6. Step 6: Final answer
    x = 217,914.20

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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.