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Finding the Fourth Proportional to 389,893.50, 538,054.74 and 211,045.50

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Solution

The fourth proportional to 389,893.50, 538,054.74 and 211,045.50 is: 291,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,893.50 : 538,054.74 = 211,045.50 : x
  2. Step 2: Convert to fraction form
    389,893.50/538,054.74 = 211,045.50/x
  3. Step 3: Cross multiply
    389,893.50x = 538,054.74 × 211,045.50
  4. Step 4: Simplify right side
    389,893.50x = 113,554,031,630.67
  5. Step 5: Solve for x
    x = 113,554,031,630.67/389,893.50
  6. Step 6: Final answer
    x = 291,243.72

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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.