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Finding the Fourth Proportional to 304,986.44, 420,875 and 169,019.32

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Solution

The fourth proportional to 304,986.44, 420,875 and 169,019.32 is: 233,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,986.44 : 420,875 = 169,019.32 : x
  2. Step 2: Convert to fraction form
    304,986.44/420,875 = 169,019.32/x
  3. Step 3: Cross multiply
    304,986.44x = 420,875 × 169,019.32
  4. Step 4: Simplify right side
    304,986.44x = 71,136,006,305
  5. Step 5: Solve for x
    x = 71,136,006,305/304,986.44
  6. Step 6: Final answer
    x = 233,243.18

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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.