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Finding the Fourth Proportional to 291,428.88, 402,161.04 and 162,364.32

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Solution

The fourth proportional to 291,428.88, 402,161.04 and 162,364.32 is: 224,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,428.88 : 402,161.04 = 162,364.32 : x
  2. Step 2: Convert to fraction form
    291,428.88/402,161.04 = 162,364.32/x
  3. Step 3: Cross multiply
    291,428.88x = 402,161.04 × 162,364.32
  4. Step 4: Simplify right side
    291,428.88x = 65,296,603,790.09
  5. Step 5: Solve for x
    x = 65,296,603,790.09/291,428.88
  6. Step 6: Final answer
    x = 224,056.74

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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.