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Finding the Fourth Proportional to 528,331.78, 729,097.86 and 301,982.14

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Solution

The fourth proportional to 528,331.78, 729,097.86 and 301,982.14 is: 416,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,331.78 : 729,097.86 = 301,982.14 : x
  2. Step 2: Convert to fraction form
    528,331.78/729,097.86 = 301,982.14/x
  3. Step 3: Cross multiply
    528,331.78x = 729,097.86 × 301,982.14
  4. Step 4: Simplify right side
    528,331.78x = 220,174,532,032.22
  5. Step 5: Solve for x
    x = 220,174,532,032.22/528,331.78
  6. Step 6: Final answer
    x = 416,735.36

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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.