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Finding the Fourth Proportional to 631,898.15, 947,847.29 and 211,174.02

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Solution

The fourth proportional to 631,898.15, 947,847.29 and 211,174.02 is: 316,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,898.15 : 947,847.29 = 211,174.02 : x
  2. Step 2: Convert to fraction form
    631,898.15/947,847.29 = 211,174.02/x
  3. Step 3: Cross multiply
    631,898.15x = 947,847.29 × 211,174.02
  4. Step 4: Simplify right side
    631,898.15x = 200,160,721,519.54
  5. Step 5: Solve for x
    x = 200,160,721,519.54/631,898.15
  6. Step 6: Final answer
    x = 316,761.05

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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.