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Finding the Fourth Proportional to 301,046.80, 415,463.80 and 198,893.06

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Solution

The fourth proportional to 301,046.80, 415,463.80 and 198,893.06 is: 274,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,046.80 : 415,463.80 = 198,893.06 : x
  2. Step 2: Convert to fraction form
    301,046.80/415,463.80 = 198,893.06/x
  3. Step 3: Cross multiply
    301,046.80x = 415,463.80 × 198,893.06
  4. Step 4: Simplify right side
    301,046.80x = 82,632,866,501.23
  5. Step 5: Solve for x
    x = 82,632,866,501.23/301,046.80
  6. Step 6: Final answer
    x = 274,485.12

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1.5x scale

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.