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Finding the Fourth Proportional to 389,742.88, 537,846.79 and 210,894.88

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Solution

The fourth proportional to 389,742.88, 537,846.79 and 210,894.88 is: 291,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,742.88 : 537,846.79 = 210,894.88 : x
  2. Step 2: Convert to fraction form
    389,742.88/537,846.79 = 210,894.88/x
  3. Step 3: Cross multiply
    389,742.88x = 537,846.79 × 210,894.88
  4. Step 4: Simplify right side
    389,742.88x = 113,429,131,546.20
  5. Step 5: Solve for x
    x = 113,429,131,546.20/389,742.88
  6. Step 6: Final answer
    x = 291,035.81

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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.