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Finding the Fourth Proportional to 1,269,764, 1,904,646 and 383,300

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Solution

The fourth proportional to 1,269,764, 1,904,646 and 383,300 is: 574,950

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,764 : 1,904,646 = 383,300 : x
  2. Step 2: Convert to fraction form
    1,269,764/1,904,646 = 383,300/x
  3. Step 3: Cross multiply
    1,269,764x = 1,904,646 × 383,300
  4. Step 4: Simplify right side
    1,269,764x = 730,050,811,800
  5. Step 5: Solve for x
    x = 730,050,811,800/1,269,764
  6. Step 6: Final answer
    x = 574,950

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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.