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Finding the Fourth Proportional to 299,121, 412,816.14 and 164,985

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Solution

The fourth proportional to 299,121, 412,816.14 and 164,985 is: 227,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,121 : 412,816.14 = 164,985 : x
  2. Step 2: Convert to fraction form
    299,121/412,816.14 = 164,985/x
  3. Step 3: Cross multiply
    299,121x = 412,816.14 × 164,985
  4. Step 4: Simplify right side
    299,121x = 68,108,470,857.90
  5. Step 5: Solve for x
    x = 68,108,470,857.90/299,121
  6. Step 6: Final answer
    x = 227,695.38

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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.