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Finding the Fourth Proportional to 871,129, 1,306,742.71 and 310,163.50

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Solution

The fourth proportional to 871,129, 1,306,742.71 and 310,163.50 is: 465,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,129 : 1,306,742.71 = 310,163.50 : x
  2. Step 2: Convert to fraction form
    871,129/1,306,742.71 = 310,163.50/x
  3. Step 3: Cross multiply
    871,129x = 1,306,742.71 × 310,163.50
  4. Step 4: Simplify right side
    871,129x = 405,303,892,533.09
  5. Step 5: Solve for x
    x = 405,303,892,533.09/871,129
  6. Step 6: Final answer
    x = 465,262.77

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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.