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Finding the Fourth Proportional to 538,486.10, 807,825.20 and 178,678.56

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Solution

The fourth proportional to 538,486.10, 807,825.20 and 178,678.56 is: 268,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,486.10 : 807,825.20 = 178,678.56 : x
  2. Step 2: Convert to fraction form
    538,486.10/807,825.20 = 178,678.56/x
  3. Step 3: Cross multiply
    538,486.10x = 807,825.20 × 178,678.56
  4. Step 4: Simplify right side
    538,486.10x = 144,341,043,467.71
  5. Step 5: Solve for x
    x = 144,341,043,467.71/538,486.10
  6. Step 6: Final answer
    x = 268,049.71

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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.