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Finding the Fourth Proportional to 304,978.26, 420,857.84 and 169,018.02

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Solution

The fourth proportional to 304,978.26, 420,857.84 and 169,018.02 is: 233,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,978.26 : 420,857.84 = 169,018.02 : x
  2. Step 2: Convert to fraction form
    304,978.26/420,857.84 = 169,018.02/x
  3. Step 3: Cross multiply
    304,978.26x = 420,857.84 × 169,018.02
  4. Step 4: Simplify right side
    304,978.26x = 71,132,558,818.28
  5. Step 5: Solve for x
    x = 71,132,558,818.28/304,978.26
  6. Step 6: Final answer
    x = 233,238.13

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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.