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Finding the Fourth Proportional to 299,896.90, 413,857.74 and 163,931.38

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Solution

The fourth proportional to 299,896.90, 413,857.74 and 163,931.38 is: 226,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,896.90 : 413,857.74 = 163,931.38 : x
  2. Step 2: Convert to fraction form
    299,896.90/413,857.74 = 163,931.38/x
  3. Step 3: Cross multiply
    299,896.90x = 413,857.74 × 163,931.38
  4. Step 4: Simplify right side
    299,896.90x = 67,844,271,427.82
  5. Step 5: Solve for x
    x = 67,844,271,427.82/299,896.90
  6. Step 6: Final answer
    x = 226,225.32

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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.