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Finding the Fourth Proportional to 389,913.52, 538,082.34 and 211,065.52

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Solution

The fourth proportional to 389,913.52, 538,082.34 and 211,065.52 is: 291,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,913.52 : 538,082.34 = 211,065.52 : x
  2. Step 2: Convert to fraction form
    389,913.52/538,082.34 = 211,065.52/x
  3. Step 3: Cross multiply
    389,913.52x = 538,082.34 × 211,065.52
  4. Step 4: Simplify right side
    389,913.52x = 113,570,628,894.92
  5. Step 5: Solve for x
    x = 113,570,628,894.92/389,913.52
  6. Step 6: Final answer
    x = 291,271.33

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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.