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Finding the Fourth Proportional to 628,232, 942,650.40 and 312,716.48

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Solution

The fourth proportional to 628,232, 942,650.40 and 312,716.48 is: 469,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,232 : 942,650.40 = 312,716.48 : x
  2. Step 2: Convert to fraction form
    628,232/942,650.40 = 312,716.48/x
  3. Step 3: Cross multiply
    628,232x = 942,650.40 × 312,716.48
  4. Step 4: Simplify right side
    628,232x = 294,782,314,958.59
  5. Step 5: Solve for x
    x = 294,782,314,958.59/628,232
  6. Step 6: Final answer
    x = 469,225.25

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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.