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Finding the Fourth Proportional to 309,400.64, 464,101.37 and 84,763.05

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Solution

The fourth proportional to 309,400.64, 464,101.37 and 84,763.05 is: 127,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,400.64 : 464,101.37 = 84,763.05 : x
  2. Step 2: Convert to fraction form
    309,400.64/464,101.37 = 84,763.05/x
  3. Step 3: Cross multiply
    309,400.64x = 464,101.37 × 84,763.05
  4. Step 4: Simplify right side
    309,400.64x = 39,338,647,206.56
  5. Step 5: Solve for x
    x = 39,338,647,206.56/309,400.64
  6. Step 6: Final answer
    x = 127,144.69

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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.