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Finding the Fourth Proportional to 409,271.10, 613,906.65 and 172,880.70

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Solution

The fourth proportional to 409,271.10, 613,906.65 and 172,880.70 is: 259,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,271.10 : 613,906.65 = 172,880.70 : x
  2. Step 2: Convert to fraction form
    409,271.10/613,906.65 = 172,880.70/x
  3. Step 3: Cross multiply
    409,271.10x = 613,906.65 × 172,880.70
  4. Step 4: Simplify right side
    409,271.10x = 106,132,611,386.66
  5. Step 5: Solve for x
    x = 106,132,611,386.66/409,271.10
  6. Step 6: Final answer
    x = 259,321.05

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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.