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Finding the Fourth Proportional to 457,172.39, 685,426.44 and 191,009.02

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Solution

The fourth proportional to 457,172.39, 685,426.44 and 191,009.02 is: 286,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,172.39 : 685,426.44 = 191,009.02 : x
  2. Step 2: Convert to fraction form
    457,172.39/685,426.44 = 191,009.02/x
  3. Step 3: Cross multiply
    457,172.39x = 685,426.44 × 191,009.02
  4. Step 4: Simplify right side
    457,172.39x = 130,922,632,586.49
  5. Step 5: Solve for x
    x = 130,922,632,586.49/457,172.39
  6. Step 6: Final answer
    x = 286,374.76

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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.