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Finding the Fourth Proportional to 305,040, 420,905.75 and 190,300.42

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Solution

The fourth proportional to 305,040, 420,905.75 and 190,300.42 is: 262,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,040 : 420,905.75 = 190,300.42 : x
  2. Step 2: Convert to fraction form
    305,040/420,905.75 = 190,300.42/x
  3. Step 3: Cross multiply
    305,040x = 420,905.75 × 190,300.42
  4. Step 4: Simplify right side
    305,040x = 80,098,541,005.42
  5. Step 5: Solve for x
    x = 80,098,541,005.42/305,040
  6. Step 6: Final answer
    x = 262,583.73

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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.