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Finding the Fourth Proportional to 290,047.50, 400,339.12 and 198,203.98

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Solution

The fourth proportional to 290,047.50, 400,339.12 and 198,203.98 is: 273,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,047.50 : 400,339.12 = 198,203.98 : x
  2. Step 2: Convert to fraction form
    290,047.50/400,339.12 = 198,203.98/x
  3. Step 3: Cross multiply
    290,047.50x = 400,339.12 × 198,203.98
  4. Step 4: Simplify right side
    290,047.50x = 79,348,805,437.34
  5. Step 5: Solve for x
    x = 79,348,805,437.34/290,047.50
  6. Step 6: Final answer
    x = 273,571.76

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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.