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Finding the Fourth Proportional to 631,756.57, 947,287.81 and 311,203.12

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Solution

The fourth proportional to 631,756.57, 947,287.81 and 311,203.12 is: 466,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,756.57 : 947,287.81 = 311,203.12 : x
  2. Step 2: Convert to fraction form
    631,756.57/947,287.81 = 311,203.12/x
  3. Step 3: Cross multiply
    631,756.57x = 947,287.81 × 311,203.12
  4. Step 4: Simplify right side
    631,756.57x = 294,798,922,009.97
  5. Step 5: Solve for x
    x = 294,798,922,009.97/631,756.57
  6. Step 6: Final answer
    x = 466,633.73

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Double scale
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Similar ratio
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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.