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Finding the Fourth Proportional to 304,643.43, 420,407.60 and 170,507.43

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Solution

The fourth proportional to 304,643.43, 420,407.60 and 170,507.43 is: 235,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,643.43 : 420,407.60 = 170,507.43 : x
  2. Step 2: Convert to fraction form
    304,643.43/420,407.60 = 170,507.43/x
  3. Step 3: Cross multiply
    304,643.43x = 420,407.60 × 170,507.43
  4. Step 4: Simplify right side
    304,643.43x = 71,682,618,575.93
  5. Step 5: Solve for x
    x = 71,682,618,575.93/304,643.43
  6. Step 6: Final answer
    x = 235,300.06

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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.