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Finding the Fourth Proportional to 902,322, 1,349,743.77 and 687,465

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Solution

The fourth proportional to 902,322, 1,349,743.77 and 687,465 is: 1,028,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,322 : 1,349,743.77 = 687,465 : x
  2. Step 2: Convert to fraction form
    902,322/1,349,743.77 = 687,465/x
  3. Step 3: Cross multiply
    902,322x = 1,349,743.77 × 687,465
  4. Step 4: Simplify right side
    902,322x = 927,901,600,843.05
  5. Step 5: Solve for x
    x = 927,901,600,843.05/902,322
  6. Step 6: Final answer
    x = 1,028,348.64

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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.