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Finding the Fourth Proportional to 393,313.32, 589,906.44 and 127,075.14

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Solution

The fourth proportional to 393,313.32, 589,906.44 and 127,075.14 is: 190,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,313.32 : 589,906.44 = 127,075.14 : x
  2. Step 2: Convert to fraction form
    393,313.32/589,906.44 = 127,075.14/x
  3. Step 3: Cross multiply
    393,313.32x = 589,906.44 × 127,075.14
  4. Step 4: Simplify right side
    393,313.32x = 74,962,443,449.90
  5. Step 5: Solve for x
    x = 74,962,443,449.90/393,313.32
  6. Step 6: Final answer
    x = 190,592.18

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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.