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Finding the Fourth Proportional to 5,251,745.60, 7,880,728.80 and 3,828,219.20

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Solution

The fourth proportional to 5,251,745.60, 7,880,728.80 and 3,828,219.20 is: 5,744,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251,745.60 : 7,880,728.80 = 3,828,219.20 : x
  2. Step 2: Convert to fraction form
    5,251,745.60/7,880,728.80 = 3,828,219.20/x
  3. Step 3: Cross multiply
    5,251,745.60x = 7,880,728.80 × 3,828,219.20
  4. Step 4: Simplify right side
    5,251,745.60x = 30,169,157,302,152.96
  5. Step 5: Solve for x
    x = 30,169,157,302,152.96/5,251,745.60
  6. Step 6: Final answer
    x = 5,744,596.10

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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.