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Finding the Fourth Proportional to 366,396, 505,626.48 and 207,420

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Solution

The fourth proportional to 366,396, 505,626.48 and 207,420 is: 286,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,396 : 505,626.48 = 207,420 : x
  2. Step 2: Convert to fraction form
    366,396/505,626.48 = 207,420/x
  3. Step 3: Cross multiply
    366,396x = 505,626.48 × 207,420
  4. Step 4: Simplify right side
    366,396x = 104,877,044,481.60
  5. Step 5: Solve for x
    x = 104,877,044,481.60/366,396
  6. Step 6: Final answer
    x = 286,239.60

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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.