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Finding the Fourth Proportional to 817,566, 1,226,418.12 and 226,590

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Solution

The fourth proportional to 817,566, 1,226,418.12 and 226,590 is: 339,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,566 : 1,226,418.12 = 226,590 : x
  2. Step 2: Convert to fraction form
    817,566/1,226,418.12 = 226,590/x
  3. Step 3: Cross multiply
    817,566x = 1,226,418.12 × 226,590
  4. Step 4: Simplify right side
    817,566x = 277,894,081,810.80
  5. Step 5: Solve for x
    x = 277,894,081,810.80/817,566
  6. Step 6: Final answer
    x = 339,904.16

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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.