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Finding the Fourth Proportional to 628,224, 942,638.40 and 312,708.48

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Solution

The fourth proportional to 628,224, 942,638.40 and 312,708.48 is: 469,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,224 : 942,638.40 = 312,708.48 : x
  2. Step 2: Convert to fraction form
    628,224/942,638.40 = 312,708.48/x
  3. Step 3: Cross multiply
    628,224x = 942,638.40 × 312,708.48
  4. Step 4: Simplify right side
    628,224x = 294,771,021,253.63
  5. Step 5: Solve for x
    x = 294,771,021,253.63/628,224
  6. Step 6: Final answer
    x = 469,213.24

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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.