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Finding the Fourth Proportional to 505,837.74, 701,252.25 and 478,871.58

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Solution

The fourth proportional to 505,837.74, 701,252.25 and 478,871.58 is: 663,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,837.74 : 701,252.25 = 478,871.58 : x
  2. Step 2: Convert to fraction form
    505,837.74/701,252.25 = 478,871.58/x
  3. Step 3: Cross multiply
    505,837.74x = 701,252.25 × 478,871.58
  4. Step 4: Simplify right side
    505,837.74x = 335,809,772,936.06
  5. Step 5: Solve for x
    x = 335,809,772,936.06/505,837.74
  6. Step 6: Final answer
    x = 663,868.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.