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Finding the Fourth Proportional to 382,984,881.80, 574,477,322.70 and 228,016,686.20

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Solution

The fourth proportional to 382,984,881.80, 574,477,322.70 and 228,016,686.20 is: 342,025,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,984,881.80 : 574,477,322.70 = 228,016,686.20 : x
  2. Step 2: Convert to fraction form
    382,984,881.80/574,477,322.70 = 228,016,686.20/x
  3. Step 3: Cross multiply
    382,984,881.80x = 574,477,322.70 × 228,016,686.20
  4. Step 4: Simplify right side
    382,984,881.80x = 130,990,415,419,102,048
  5. Step 5: Solve for x
    x = 130,990,415,419,102,048/382,984,881.80
  6. Step 6: Final answer
    x = 342,025,029.30

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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.