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Finding the Fourth Proportional to 257,698.98, 355,612.59 and 142,976.40

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Solution

The fourth proportional to 257,698.98, 355,612.59 and 142,976.40 is: 197,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,698.98 : 355,612.59 = 142,976.40 : x
  2. Step 2: Convert to fraction form
    257,698.98/355,612.59 = 142,976.40/x
  3. Step 3: Cross multiply
    257,698.98x = 355,612.59 × 142,976.40
  4. Step 4: Simplify right side
    257,698.98x = 50,844,207,912.88
  5. Step 5: Solve for x
    x = 50,844,207,912.88/257,698.98
  6. Step 6: Final answer
    x = 197,300.77

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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.