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Finding the Fourth Proportional to 271,935.40, 407,903.10 and 172,208.20

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Solution

The fourth proportional to 271,935.40, 407,903.10 and 172,208.20 is: 258,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,935.40 : 407,903.10 = 172,208.20 : x
  2. Step 2: Convert to fraction form
    271,935.40/407,903.10 = 172,208.20/x
  3. Step 3: Cross multiply
    271,935.40x = 407,903.10 × 172,208.20
  4. Step 4: Simplify right side
    271,935.40x = 70,244,258,625.42
  5. Step 5: Solve for x
    x = 70,244,258,625.42/271,935.40
  6. Step 6: Final answer
    x = 258,312.30

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1.5x scale

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.