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Finding the Fourth Proportional to 389,328, 537,273.36 and 210,480

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Solution

The fourth proportional to 389,328, 537,273.36 and 210,480 is: 290,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,328 : 537,273.36 = 210,480 : x
  2. Step 2: Convert to fraction form
    389,328/537,273.36 = 210,480/x
  3. Step 3: Cross multiply
    389,328x = 537,273.36 × 210,480
  4. Step 4: Simplify right side
    389,328x = 113,085,296,812.80
  5. Step 5: Solve for x
    x = 113,085,296,812.80/389,328
  6. Step 6: Final answer
    x = 290,462.79

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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.