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Finding the Fourth Proportional to 631,756.31, 947,287.44 and 311,202.86

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Solution

The fourth proportional to 631,756.31, 947,287.44 and 311,202.86 is: 466,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,756.31 : 947,287.44 = 311,202.86 : x
  2. Step 2: Convert to fraction form
    631,756.31/947,287.44 = 311,202.86/x
  3. Step 3: Cross multiply
    631,756.31x = 947,287.44 × 311,202.86
  4. Step 4: Simplify right side
    631,756.31x = 294,798,562,938.30
  5. Step 5: Solve for x
    x = 294,798,562,938.30/631,756.31
  6. Step 6: Final answer
    x = 466,633.35

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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.