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Finding the Fourth Proportional to 339,949.80, 509,924.70 and 280,852.20

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Solution

The fourth proportional to 339,949.80, 509,924.70 and 280,852.20 is: 421,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,949.80 : 509,924.70 = 280,852.20 : x
  2. Step 2: Convert to fraction form
    339,949.80/509,924.70 = 280,852.20/x
  3. Step 3: Cross multiply
    339,949.80x = 509,924.70 × 280,852.20
  4. Step 4: Simplify right side
    339,949.80x = 143,213,473,829.34
  5. Step 5: Solve for x
    x = 143,213,473,829.34/339,949.80
  6. Step 6: Final answer
    x = 421,278.30

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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.