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Finding the Fourth Proportional to 389,798, 537,921.28 and 210,950

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Solution

The fourth proportional to 389,798, 537,921.28 and 210,950 is: 291,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,798 : 537,921.28 = 210,950 : x
  2. Step 2: Convert to fraction form
    389,798/537,921.28 = 210,950/x
  3. Step 3: Cross multiply
    389,798x = 537,921.28 × 210,950
  4. Step 4: Simplify right side
    389,798x = 113,474,494,016
  5. Step 5: Solve for x
    x = 113,474,494,016/389,798
  6. Step 6: Final answer
    x = 291,111.02

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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.