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Finding the Fourth Proportional to 272,042.40, 407,661.84 and 131,633.76

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Solution

The fourth proportional to 272,042.40, 407,661.84 and 131,633.76 is: 197,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,042.40 : 407,661.84 = 131,633.76 : x
  2. Step 2: Convert to fraction form
    272,042.40/407,661.84 = 131,633.76/x
  3. Step 3: Cross multiply
    272,042.40x = 407,661.84 × 131,633.76
  4. Step 4: Simplify right side
    272,042.40x = 53,662,060,807.72
  5. Step 5: Solve for x
    x = 53,662,060,807.72/272,042.40
  6. Step 6: Final answer
    x = 197,256.24

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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.