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Finding the Fourth Proportional to 389,380, 537,344.40 and 210,532

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Solution

The fourth proportional to 389,380, 537,344.40 and 210,532 is: 290,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,380 : 537,344.40 = 210,532 : x
  2. Step 2: Convert to fraction form
    389,380/537,344.40 = 210,532/x
  3. Step 3: Cross multiply
    389,380x = 537,344.40 × 210,532
  4. Step 4: Simplify right side
    389,380x = 113,128,191,220.80
  5. Step 5: Solve for x
    x = 113,128,191,220.80/389,380
  6. Step 6: Final answer
    x = 290,534.16

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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.