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Finding the Fourth Proportional to 389,690, 537,772.22 and 210,842

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Solution

The fourth proportional to 389,690, 537,772.22 and 210,842 is: 290,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,690 : 537,772.22 = 210,842 : x
  2. Step 2: Convert to fraction form
    389,690/537,772.22 = 210,842/x
  3. Step 3: Cross multiply
    389,690x = 537,772.22 × 210,842
  4. Step 4: Simplify right side
    389,690x = 113,384,970,409.24
  5. Step 5: Solve for x
    x = 113,384,970,409.24/389,690
  6. Step 6: Final answer
    x = 290,961.97

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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.