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Finding the Fourth Proportional to 304,968.37, 420,872.53 and 169,017.16

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Solution

The fourth proportional to 304,968.37, 420,872.53 and 169,017.16 is: 233,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,968.37 : 420,872.53 = 169,017.16 : x
  2. Step 2: Convert to fraction form
    304,968.37/420,872.53 = 169,017.16/x
  3. Step 3: Cross multiply
    304,968.37x = 420,872.53 × 169,017.16
  4. Step 4: Simplify right side
    304,968.37x = 71,134,677,638.25
  5. Step 5: Solve for x
    x = 71,134,677,638.25/304,968.37
  6. Step 6: Final answer
    x = 233,252.64

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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.