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Finding the Fourth Proportional to 389,326, 537,270.60 and 210,478

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Solution

The fourth proportional to 389,326, 537,270.60 and 210,478 is: 290,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,326 : 537,270.60 = 210,478 : x
  2. Step 2: Convert to fraction form
    389,326/537,270.60 = 210,478/x
  3. Step 3: Cross multiply
    389,326x = 537,270.60 × 210,478
  4. Step 4: Simplify right side
    389,326x = 113,083,641,346.80
  5. Step 5: Solve for x
    x = 113,083,641,346.80/389,326
  6. Step 6: Final answer
    x = 290,460.03

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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.