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Finding the Fourth Proportional to 389,622, 537,678.36 and 210,774

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Solution

The fourth proportional to 389,622, 537,678.36 and 210,774 is: 290,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,622 : 537,678.36 = 210,774 : x
  2. Step 2: Convert to fraction form
    389,622/537,678.36 = 210,774/x
  3. Step 3: Cross multiply
    389,622x = 537,678.36 × 210,774
  4. Step 4: Simplify right side
    389,622x = 113,328,618,650.64
  5. Step 5: Solve for x
    x = 113,328,618,650.64/389,622
  6. Step 6: Final answer
    x = 290,868.12

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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.