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Finding the Fourth Proportional to 389,503, 537,514.14 and 210,655

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Solution

The fourth proportional to 389,503, 537,514.14 and 210,655 is: 290,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,503 : 537,514.14 = 210,655 : x
  2. Step 2: Convert to fraction form
    389,503/537,514.14 = 210,655/x
  3. Step 3: Cross multiply
    389,503x = 537,514.14 × 210,655
  4. Step 4: Simplify right side
    389,503x = 113,230,041,161.70
  5. Step 5: Solve for x
    x = 113,230,041,161.70/389,503
  6. Step 6: Final answer
    x = 290,703.90

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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.