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Finding the Fourth Proportional to 389,775, 537,889.50 and 210,927

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Solution

The fourth proportional to 389,775, 537,889.50 and 210,927 is: 291,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,775 : 537,889.50 = 210,927 : x
  2. Step 2: Convert to fraction form
    389,775/537,889.50 = 210,927/x
  3. Step 3: Cross multiply
    389,775x = 537,889.50 × 210,927
  4. Step 4: Simplify right side
    389,775x = 113,455,418,566.50
  5. Step 5: Solve for x
    x = 113,455,418,566.50/389,775
  6. Step 6: Final answer
    x = 291,079.26

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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.