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Finding the Fourth Proportional to 519,322, 716,664.36 and 368,681.44

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Solution

The fourth proportional to 519,322, 716,664.36 and 368,681.44 is: 508,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,322 : 716,664.36 = 368,681.44 : x
  2. Step 2: Convert to fraction form
    519,322/716,664.36 = 368,681.44/x
  3. Step 3: Cross multiply
    519,322x = 716,664.36 × 368,681.44
  4. Step 4: Simplify right side
    519,322x = 264,220,848,241.48
  5. Step 5: Solve for x
    x = 264,220,848,241.48/519,322
  6. Step 6: Final answer
    x = 508,780.39

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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.