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Finding the Fourth Proportional to 311,969.51, 467,918.07 and 87,347.90

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Solution

The fourth proportional to 311,969.51, 467,918.07 and 87,347.90 is: 131,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,969.51 : 467,918.07 = 87,347.90 : x
  2. Step 2: Convert to fraction form
    311,969.51/467,918.07 = 87,347.90/x
  3. Step 3: Cross multiply
    311,969.51x = 467,918.07 × 87,347.90
  4. Step 4: Simplify right side
    311,969.51x = 40,871,658,446.96
  5. Step 5: Solve for x
    x = 40,871,658,446.96/311,969.51
  6. Step 6: Final answer
    x = 131,011.71

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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.