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Finding the Fourth Proportional to 428,652, 642,928.59 and 113,133.51

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Solution

The fourth proportional to 428,652, 642,928.59 and 113,133.51 is: 169,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,652 : 642,928.59 = 113,133.51 : x
  2. Step 2: Convert to fraction form
    428,652/642,928.59 = 113,133.51/x
  3. Step 3: Cross multiply
    428,652x = 642,928.59 × 113,133.51
  4. Step 4: Simplify right side
    428,652x = 72,736,768,066.05
  5. Step 5: Solve for x
    x = 72,736,768,066.05/428,652
  6. Step 6: Final answer
    x = 169,687.22

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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.