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Finding the Fourth Proportional to 259,878, 358,631.64 and 140,646

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Solution

The fourth proportional to 259,878, 358,631.64 and 140,646 is: 194,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,878 : 358,631.64 = 140,646 : x
  2. Step 2: Convert to fraction form
    259,878/358,631.64 = 140,646/x
  3. Step 3: Cross multiply
    259,878x = 358,631.64 × 140,646
  4. Step 4: Simplify right side
    259,878x = 50,440,105,639.44
  5. Step 5: Solve for x
    x = 50,440,105,639.44/259,878
  6. Step 6: Final answer
    x = 194,091.48

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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.