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Finding the Fourth Proportional to 280,601.31, 421,042.77 and 130,853.37

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Solution

The fourth proportional to 280,601.31, 421,042.77 and 130,853.37 is: 196,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,601.31 : 421,042.77 = 130,853.37 : x
  2. Step 2: Convert to fraction form
    280,601.31/421,042.77 = 130,853.37/x
  3. Step 3: Cross multiply
    280,601.31x = 421,042.77 × 130,853.37
  4. Step 4: Simplify right side
    280,601.31x = 55,094,865,368.63
  5. Step 5: Solve for x
    x = 55,094,865,368.63/280,601.31
  6. Step 6: Final answer
    x = 196,345.72

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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.