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Finding the Fourth Proportional to 528,238, 728,969.64 and 301,882.96

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Solution

The fourth proportional to 528,238, 728,969.64 and 301,882.96 is: 416,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,238 : 728,969.64 = 301,882.96 : x
  2. Step 2: Convert to fraction form
    528,238/728,969.64 = 301,882.96/x
  3. Step 3: Cross multiply
    528,238x = 728,969.64 × 301,882.96
  4. Step 4: Simplify right side
    528,238x = 220,063,512,673.33
  5. Step 5: Solve for x
    x = 220,063,512,673.33/528,238
  6. Step 6: Final answer
    x = 416,599.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.