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Finding the Fourth Proportional to 389,678, 537,755.64 and 210,830

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Solution

The fourth proportional to 389,678, 537,755.64 and 210,830 is: 290,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,678 : 537,755.64 = 210,830 : x
  2. Step 2: Convert to fraction form
    389,678/537,755.64 = 210,830/x
  3. Step 3: Cross multiply
    389,678x = 537,755.64 × 210,830
  4. Step 4: Simplify right side
    389,678x = 113,375,021,581.20
  5. Step 5: Solve for x
    x = 113,375,021,581.20/389,678
  6. Step 6: Final answer
    x = 290,945.40

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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.