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Finding the Fourth Proportional to 446,870.40, 670,305.60 and 305,152.80

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Solution

The fourth proportional to 446,870.40, 670,305.60 and 305,152.80 is: 457,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,870.40 : 670,305.60 = 305,152.80 : x
  2. Step 2: Convert to fraction form
    446,870.40/670,305.60 = 305,152.80/x
  3. Step 3: Cross multiply
    446,870.40x = 670,305.60 × 305,152.80
  4. Step 4: Simplify right side
    446,870.40x = 204,545,630,695.68
  5. Step 5: Solve for x
    x = 204,545,630,695.68/446,870.40
  6. Step 6: Final answer
    x = 457,729.20

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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.