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Finding the Fourth Proportional to 299,157.49, 412,839.75 and 163,192.51

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Solution

The fourth proportional to 299,157.49, 412,839.75 and 163,192.51 is: 225,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,157.49 : 412,839.75 = 163,192.51 : x
  2. Step 2: Convert to fraction form
    299,157.49/412,839.75 = 163,192.51/x
  3. Step 3: Cross multiply
    299,157.49x = 412,839.75 × 163,192.51
  4. Step 4: Simplify right side
    299,157.49x = 67,372,355,030.27
  5. Step 5: Solve for x
    x = 67,372,355,030.27/299,157.49
  6. Step 6: Final answer
    x = 225,206.98

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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.