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Finding the Fourth Proportional to 289,484.87, 399,442.61 and 181,978.78

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Solution

The fourth proportional to 289,484.87, 399,442.61 and 181,978.78 is: 251,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,484.87 : 399,442.61 = 181,978.78 : x
  2. Step 2: Convert to fraction form
    289,484.87/399,442.61 = 181,978.78/x
  3. Step 3: Cross multiply
    289,484.87x = 399,442.61 × 181,978.78
  4. Step 4: Simplify right side
    289,484.87x = 72,690,076,939.32
  5. Step 5: Solve for x
    x = 72,690,076,939.32/289,484.87
  6. Step 6: Final answer
    x = 251,101.48

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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.