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Finding the Fourth Proportional to 271,859.36, 408,038.10 and 145,642.10

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Solution

The fourth proportional to 271,859.36, 408,038.10 and 145,642.10 is: 218,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,859.36 : 408,038.10 = 145,642.10 : x
  2. Step 2: Convert to fraction form
    271,859.36/408,038.10 = 145,642.10/x
  3. Step 3: Cross multiply
    271,859.36x = 408,038.10 × 145,642.10
  4. Step 4: Simplify right side
    271,859.36x = 59,427,525,764.01
  5. Step 5: Solve for x
    x = 59,427,525,764.01/271,859.36
  6. Step 6: Final answer
    x = 218,596.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.