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Finding the Fourth Proportional to 421,894.32, 632,844 and 172,576.32

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Solution

The fourth proportional to 421,894.32, 632,844 and 172,576.32 is: 258,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,894.32 : 632,844 = 172,576.32 : x
  2. Step 2: Convert to fraction form
    421,894.32/632,844 = 172,576.32/x
  3. Step 3: Cross multiply
    421,894.32x = 632,844 × 172,576.32
  4. Step 4: Simplify right side
    421,894.32x = 109,213,888,654.08
  5. Step 5: Solve for x
    x = 109,213,888,654.08/421,894.32
  6. Step 6: Final answer
    x = 258,865.51

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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.