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Finding the Fourth Proportional to 628,032.84, 942,448.86 and 228,634.80

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Solution

The fourth proportional to 628,032.84, 942,448.86 and 228,634.80 is: 343,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,032.84 : 942,448.86 = 228,634.80 : x
  2. Step 2: Convert to fraction form
    628,032.84/942,448.86 = 228,634.80/x
  3. Step 3: Cross multiply
    628,032.84x = 942,448.86 × 228,634.80
  4. Step 4: Simplify right side
    628,032.84x = 215,476,606,616.33
  5. Step 5: Solve for x
    x = 215,476,606,616.33/628,032.84
  6. Step 6: Final answer
    x = 343,097.67

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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.