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Finding the Fourth Proportional to 355,810.49, 490,970.01 and 212,540.12

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Solution

The fourth proportional to 355,810.49, 490,970.01 and 212,540.12 is: 293,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,810.49 : 490,970.01 = 212,540.12 : x
  2. Step 2: Convert to fraction form
    355,810.49/490,970.01 = 212,540.12/x
  3. Step 3: Cross multiply
    355,810.49x = 490,970.01 × 212,540.12
  4. Step 4: Simplify right side
    355,810.49x = 104,350,824,841.80
  5. Step 5: Solve for x
    x = 104,350,824,841.80/355,810.49
  6. Step 6: Final answer
    x = 293,276.41

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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.