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Finding the Fourth Proportional to 290,772.80, 435,459.36 and 196,994.24

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Solution

The fourth proportional to 290,772.80, 435,459.36 and 196,994.24 is: 295,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,772.80 : 435,459.36 = 196,994.24 : x
  2. Step 2: Convert to fraction form
    290,772.80/435,459.36 = 196,994.24/x
  3. Step 3: Cross multiply
    290,772.80x = 435,459.36 × 196,994.24
  4. Step 4: Simplify right side
    290,772.80x = 85,782,985,674.09
  5. Step 5: Solve for x
    x = 85,782,985,674.09/290,772.80
  6. Step 6: Final answer
    x = 295,017.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.