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Finding the Fourth Proportional to 490,385.58, 677,034 and 388,821.30

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Solution

The fourth proportional to 490,385.58, 677,034 and 388,821.30 is: 536,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,385.58 : 677,034 = 388,821.30 : x
  2. Step 2: Convert to fraction form
    490,385.58/677,034 = 388,821.30/x
  3. Step 3: Cross multiply
    490,385.58x = 677,034 × 388,821.30
  4. Step 4: Simplify right side
    490,385.58x = 263,245,240,024.20
  5. Step 5: Solve for x
    x = 263,245,240,024.20/490,385.58
  6. Step 6: Final answer
    x = 536,812.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.