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Finding the Fourth Proportional to 291,380.22, 402,117.11 and 162,318.54

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Solution

The fourth proportional to 291,380.22, 402,117.11 and 162,318.54 is: 224,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,380.22 : 402,117.11 = 162,318.54 : x
  2. Step 2: Convert to fraction form
    291,380.22/402,117.11 = 162,318.54/x
  3. Step 3: Cross multiply
    291,380.22x = 402,117.11 × 162,318.54
  4. Step 4: Simplify right side
    291,380.22x = 65,271,061,392.63
  5. Step 5: Solve for x
    x = 65,271,061,392.63/291,380.22
  6. Step 6: Final answer
    x = 224,006.49

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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.