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Finding the Fourth Proportional to 291,318.41, 402,020.06 and 162,255.84

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Solution

The fourth proportional to 291,318.41, 402,020.06 and 162,255.84 is: 223,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,318.41 : 402,020.06 = 162,255.84 : x
  2. Step 2: Convert to fraction form
    291,318.41/402,020.06 = 162,255.84/x
  3. Step 3: Cross multiply
    291,318.41x = 402,020.06 × 162,255.84
  4. Step 4: Simplify right side
    291,318.41x = 65,230,101,720.87
  5. Step 5: Solve for x
    x = 65,230,101,720.87/291,318.41
  6. Step 6: Final answer
    x = 223,913.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.