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Finding the Fourth Proportional to 309,025.80, 463,538.70 and 275,200.20

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Solution

The fourth proportional to 309,025.80, 463,538.70 and 275,200.20 is: 412,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,025.80 : 463,538.70 = 275,200.20 : x
  2. Step 2: Convert to fraction form
    309,025.80/463,538.70 = 275,200.20/x
  3. Step 3: Cross multiply
    309,025.80x = 463,538.70 × 275,200.20
  4. Step 4: Simplify right side
    309,025.80x = 127,565,942,947.74
  5. Step 5: Solve for x
    x = 127,565,942,947.74/309,025.80
  6. Step 6: Final answer
    x = 412,800.30

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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.