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Finding the Fourth Proportional to 271,812.60, 407,459.70 and 211,807.80

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Solution

The fourth proportional to 271,812.60, 407,459.70 and 211,807.80 is: 317,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,812.60 : 407,459.70 = 211,807.80 : x
  2. Step 2: Convert to fraction form
    271,812.60/407,459.70 = 211,807.80/x
  3. Step 3: Cross multiply
    271,812.60x = 407,459.70 × 211,807.80
  4. Step 4: Simplify right side
    271,812.60x = 86,303,142,645.66
  5. Step 5: Solve for x
    x = 86,303,142,645.66/271,812.60
  6. Step 6: Final answer
    x = 317,509.72

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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.