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Finding the Fourth Proportional to 798,286, 1,101,636.12 and 440,590

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Solution

The fourth proportional to 798,286, 1,101,636.12 and 440,590 is: 608,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,286 : 1,101,636.12 = 440,590 : x
  2. Step 2: Convert to fraction form
    798,286/1,101,636.12 = 440,590/x
  3. Step 3: Cross multiply
    798,286x = 1,101,636.12 × 440,590
  4. Step 4: Simplify right side
    798,286x = 485,369,858,110.80
  5. Step 5: Solve for x
    x = 485,369,858,110.80/798,286
  6. Step 6: Final answer
    x = 608,014.99

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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.