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Finding the Fourth Proportional to 314,129.87, 471,192.64 and 127,138.67

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Solution

The fourth proportional to 314,129.87, 471,192.64 and 127,138.67 is: 190,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,129.87 : 471,192.64 = 127,138.67 : x
  2. Step 2: Convert to fraction form
    314,129.87/471,192.64 = 127,138.67/x
  3. Step 3: Cross multiply
    314,129.87x = 471,192.64 × 127,138.67
  4. Step 4: Simplify right side
    314,129.87x = 59,906,805,563.39
  5. Step 5: Solve for x
    x = 59,906,805,563.39/314,129.87
  6. Step 6: Final answer
    x = 190,707.13

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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.