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Finding the Fourth Proportional to 628,231, 942,648.90 and 312,715.48

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Solution

The fourth proportional to 628,231, 942,648.90 and 312,715.48 is: 469,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,231 : 942,648.90 = 312,715.48 : x
  2. Step 2: Convert to fraction form
    628,231/942,648.90 = 312,715.48/x
  3. Step 3: Cross multiply
    628,231x = 942,648.90 × 312,715.48
  4. Step 4: Simplify right side
    628,231x = 294,780,903,234.97
  5. Step 5: Solve for x
    x = 294,780,903,234.97/628,231
  6. Step 6: Final answer
    x = 469,223.75

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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.