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Finding the Fourth Proportional to 808,397, 1,212,590.64 and 209,356.64

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Solution

The fourth proportional to 808,397, 1,212,590.64 and 209,356.64 is: 314,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,397 : 1,212,590.64 = 209,356.64 : x
  2. Step 2: Convert to fraction form
    808,397/1,212,590.64 = 209,356.64/x
  3. Step 3: Cross multiply
    808,397x = 1,212,590.64 × 209,356.64
  4. Step 4: Simplify right side
    808,397x = 253,863,902,085.85
  5. Step 5: Solve for x
    x = 253,863,902,085.85/808,397
  6. Step 6: Final answer
    x = 314,033.70

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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.