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Finding the Fourth Proportional to 393,131.76, 589,697.64 and 112,649

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Solution

The fourth proportional to 393,131.76, 589,697.64 and 112,649 is: 168,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,131.76 : 589,697.64 = 112,649 : x
  2. Step 2: Convert to fraction form
    393,131.76/589,697.64 = 112,649/x
  3. Step 3: Cross multiply
    393,131.76x = 589,697.64 × 112,649
  4. Step 4: Simplify right side
    393,131.76x = 66,428,849,448.36
  5. Step 5: Solve for x
    x = 66,428,849,448.36/393,131.76
  6. Step 6: Final answer
    x = 168,973.50

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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.