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Finding the Fourth Proportional to 631,761, 871,328.61 and 477,227.94

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Solution

The fourth proportional to 631,761, 871,328.61 and 477,227.94 is: 658,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,761 : 871,328.61 = 477,227.94 : x
  2. Step 2: Convert to fraction form
    631,761/871,328.61 = 477,227.94/x
  3. Step 3: Cross multiply
    631,761x = 871,328.61 × 477,227.94
  4. Step 4: Simplify right side
    631,761x = 415,822,357,613.36
  5. Step 5: Solve for x
    x = 415,822,357,613.36/631,761
  6. Step 6: Final answer
    x = 658,195.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.