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Finding the Fourth Proportional to 297,989.12, 410,943.03 and 190,372.34

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Solution

The fourth proportional to 297,989.12, 410,943.03 and 190,372.34 is: 262,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,989.12 : 410,943.03 = 190,372.34 : x
  2. Step 2: Convert to fraction form
    297,989.12/410,943.03 = 190,372.34/x
  3. Step 3: Cross multiply
    297,989.12x = 410,943.03 × 190,372.34
  4. Step 4: Simplify right side
    297,989.12x = 78,232,186,227.79
  5. Step 5: Solve for x
    x = 78,232,186,227.79/297,989.12
  6. Step 6: Final answer
    x = 262,533.70

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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.