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Finding the Fourth Proportional to 272,249.76, 375,604.74 and 164,780.40

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Solution

The fourth proportional to 272,249.76, 375,604.74 and 164,780.40 is: 227,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,249.76 : 375,604.74 = 164,780.40 : x
  2. Step 2: Convert to fraction form
    272,249.76/375,604.74 = 164,780.40/x
  3. Step 3: Cross multiply
    272,249.76x = 375,604.74 × 164,780.40
  4. Step 4: Simplify right side
    272,249.76x = 61,892,299,299.10
  5. Step 5: Solve for x
    x = 61,892,299,299.10/272,249.76
  6. Step 6: Final answer
    x = 227,336.47

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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.