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Finding the Fourth Proportional to 299,116.56, 412,782.14 and 163,153.42

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Solution

The fourth proportional to 299,116.56, 412,782.14 and 163,153.42 is: 225,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,116.56 : 412,782.14 = 163,153.42 : x
  2. Step 2: Convert to fraction form
    299,116.56/412,782.14 = 163,153.42/x
  3. Step 3: Cross multiply
    299,116.56x = 412,782.14 × 163,153.42
  4. Step 4: Simplify right side
    299,116.56x = 67,346,819,159.48
  5. Step 5: Solve for x
    x = 67,346,819,159.48/299,116.56
  6. Step 6: Final answer
    x = 225,152.43

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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.