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Finding the Fourth Proportional to 271,973.70, 407,960.55 and 171,809.10

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Solution

The fourth proportional to 271,973.70, 407,960.55 and 171,809.10 is: 257,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,973.70 : 407,960.55 = 171,809.10 : x
  2. Step 2: Convert to fraction form
    271,973.70/407,960.55 = 171,809.10/x
  3. Step 3: Cross multiply
    271,973.70x = 407,960.55 × 171,809.10
  4. Step 4: Simplify right side
    271,973.70x = 70,091,334,931.01
  5. Step 5: Solve for x
    x = 70,091,334,931.01/271,973.70
  6. Step 6: Final answer
    x = 257,713.65

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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.