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Finding the Fourth Proportional to 389,802, 537,926.76 and 210,954

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Solution

The fourth proportional to 389,802, 537,926.76 and 210,954 is: 291,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,802 : 537,926.76 = 210,954 : x
  2. Step 2: Convert to fraction form
    389,802/537,926.76 = 210,954/x
  3. Step 3: Cross multiply
    389,802x = 537,926.76 × 210,954
  4. Step 4: Simplify right side
    389,802x = 113,477,801,729.04
  5. Step 5: Solve for x
    x = 113,477,801,729.04/389,802
  6. Step 6: Final answer
    x = 291,116.52

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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.