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Finding the Fourth Proportional to 299,127.92, 412,802.15 and 163,166.73

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Solution

The fourth proportional to 299,127.92, 412,802.15 and 163,166.73 is: 225,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,127.92 : 412,802.15 = 163,166.73 : x
  2. Step 2: Convert to fraction form
    299,127.92/412,802.15 = 163,166.73/x
  3. Step 3: Cross multiply
    299,127.92x = 412,802.15 × 163,166.73
  4. Step 4: Simplify right side
    299,127.92x = 67,355,576,952.47
  5. Step 5: Solve for x
    x = 67,355,576,952.47/299,127.92
  6. Step 6: Final answer
    x = 225,173.15

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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.