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Finding the Fourth Proportional to 382,985,135.80, 574,477,703.70 and 228,016,940.20

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Solution

The fourth proportional to 382,985,135.80, 574,477,703.70 and 228,016,940.20 is: 342,025,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,985,135.80 : 574,477,703.70 = 228,016,940.20 : x
  2. Step 2: Convert to fraction form
    382,985,135.80/574,477,703.70 = 228,016,940.20/x
  3. Step 3: Cross multiply
    382,985,135.80x = 574,477,703.70 × 228,016,940.20
  4. Step 4: Simplify right side
    382,985,135.80x = 130,990,648,210,796,224
  5. Step 5: Solve for x
    x = 130,990,648,210,796,224/382,985,135.80
  6. Step 6: Final answer
    x = 342,025,410.30

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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.