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Finding the Fourth Proportional to 386,643.38, 579,189.02 and 197,096.09

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Solution

The fourth proportional to 386,643.38, 579,189.02 and 197,096.09 is: 295,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,643.38 : 579,189.02 = 197,096.09 : x
  2. Step 2: Convert to fraction form
    386,643.38/579,189.02 = 197,096.09/x
  3. Step 3: Cross multiply
    386,643.38x = 579,189.02 × 197,096.09
  4. Step 4: Simplify right side
    386,643.38x = 114,155,887,331.51
  5. Step 5: Solve for x
    x = 114,155,887,331.51/386,643.38
  6. Step 6: Final answer
    x = 295,248.53

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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.