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Finding the Fourth Proportional to 489,843.20, 734,764.80 and 209,907.20

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Solution

The fourth proportional to 489,843.20, 734,764.80 and 209,907.20 is: 314,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,843.20 : 734,764.80 = 209,907.20 : x
  2. Step 2: Convert to fraction form
    489,843.20/734,764.80 = 209,907.20/x
  3. Step 3: Cross multiply
    489,843.20x = 734,764.80 × 209,907.20
  4. Step 4: Simplify right side
    489,843.20x = 154,232,421,826.56
  5. Step 5: Solve for x
    x = 154,232,421,826.56/489,843.20
  6. Step 6: Final answer
    x = 314,860.80

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Similar ratio
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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.