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Finding the Fourth Proportional to 348,172, 480,496.80 and 197,317.60

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Solution

The fourth proportional to 348,172, 480,496.80 and 197,317.60 is: 272,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,172 : 480,496.80 = 197,317.60 : x
  2. Step 2: Convert to fraction form
    348,172/480,496.80 = 197,317.60/x
  3. Step 3: Cross multiply
    348,172x = 480,496.80 × 197,317.60
  4. Step 4: Simplify right side
    348,172x = 94,810,475,383.68
  5. Step 5: Solve for x
    x = 94,810,475,383.68/348,172
  6. Step 6: Final answer
    x = 272,309.31

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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.