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Finding the Fourth Proportional to 389,677, 537,754.26 and 210,829

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Solution

The fourth proportional to 389,677, 537,754.26 and 210,829 is: 290,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,677 : 537,754.26 = 210,829 : x
  2. Step 2: Convert to fraction form
    389,677/537,754.26 = 210,829/x
  3. Step 3: Cross multiply
    389,677x = 537,754.26 × 210,829
  4. Step 4: Simplify right side
    389,677x = 113,374,192,881.54
  5. Step 5: Solve for x
    x = 113,374,192,881.54/389,677
  6. Step 6: Final answer
    x = 290,944.02

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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.