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Finding the Fourth Proportional to 660,238.20, 990,648.90 and 305,069.40

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Solution

The fourth proportional to 660,238.20, 990,648.90 and 305,069.40 is: 457,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,238.20 : 990,648.90 = 305,069.40 : x
  2. Step 2: Convert to fraction form
    660,238.20/990,648.90 = 305,069.40/x
  3. Step 3: Cross multiply
    660,238.20x = 990,648.90 × 305,069.40
  4. Step 4: Simplify right side
    660,238.20x = 302,216,665,533.66
  5. Step 5: Solve for x
    x = 302,216,665,533.66/660,238.20
  6. Step 6: Final answer
    x = 457,738.84

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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.