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Finding the Fourth Proportional to 259,398.64, 357,975.60 and 146,221.36

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Solution

The fourth proportional to 259,398.64, 357,975.60 and 146,221.36 is: 201,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,398.64 : 357,975.60 = 146,221.36 : x
  2. Step 2: Convert to fraction form
    259,398.64/357,975.60 = 146,221.36/x
  3. Step 3: Cross multiply
    259,398.64x = 357,975.60 × 146,221.36
  4. Step 4: Simplify right side
    259,398.64x = 52,343,679,078.82
  5. Step 5: Solve for x
    x = 52,343,679,078.82/259,398.64
  6. Step 6: Final answer
    x = 201,788.56

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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.