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Finding the Fourth Proportional to 611,640, 844,063.20 and 343,368

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Solution

The fourth proportional to 611,640, 844,063.20 and 343,368 is: 473,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,640 : 844,063.20 = 343,368 : x
  2. Step 2: Convert to fraction form
    611,640/844,063.20 = 343,368/x
  3. Step 3: Cross multiply
    611,640x = 844,063.20 × 343,368
  4. Step 4: Simplify right side
    611,640x = 289,824,292,857.60
  5. Step 5: Solve for x
    x = 289,824,292,857.60/611,640
  6. Step 6: Final answer
    x = 473,847.84

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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.