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Finding the Fourth Proportional to 290,069.46, 399,550.05 and 205,040.34

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Solution

The fourth proportional to 290,069.46, 399,550.05 and 205,040.34 is: 282,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,069.46 : 399,550.05 = 205,040.34 : x
  2. Step 2: Convert to fraction form
    290,069.46/399,550.05 = 205,040.34/x
  3. Step 3: Cross multiply
    290,069.46x = 399,550.05 × 205,040.34
  4. Step 4: Simplify right side
    290,069.46x = 81,923,878,099.02
  5. Step 5: Solve for x
    x = 81,923,878,099.02/290,069.46
  6. Step 6: Final answer
    x = 282,428.48

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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.