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Finding the Fourth Proportional to 469,080, 703,620 and 206,424

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Solution

The fourth proportional to 469,080, 703,620 and 206,424 is: 309,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,080 : 703,620 = 206,424 : x
  2. Step 2: Convert to fraction form
    469,080/703,620 = 206,424/x
  3. Step 3: Cross multiply
    469,080x = 703,620 × 206,424
  4. Step 4: Simplify right side
    469,080x = 145,244,054,880
  5. Step 5: Solve for x
    x = 145,244,054,880/469,080
  6. Step 6: Final answer
    x = 309,636

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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.