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Finding the Fourth Proportional to 299,487.88, 413,362.20 and 197,531.56

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Solution

The fourth proportional to 299,487.88, 413,362.20 and 197,531.56 is: 272,639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,487.88 : 413,362.20 = 197,531.56 : x
  2. Step 2: Convert to fraction form
    299,487.88/413,362.20 = 197,531.56/x
  3. Step 3: Cross multiply
    299,487.88x = 413,362.20 × 197,531.56
  4. Step 4: Simplify right side
    299,487.88x = 81,652,080,211.03
  5. Step 5: Solve for x
    x = 81,652,080,211.03/299,487.88
  6. Step 6: Final answer
    x = 272,639.01

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1.5x scale

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.