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Finding the Fourth Proportional to 308,876.42, 426,029.72 and 283,464.83

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Solution

The fourth proportional to 308,876.42, 426,029.72 and 283,464.83 is: 390,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,876.42 : 426,029.72 = 283,464.83 : x
  2. Step 2: Convert to fraction form
    308,876.42/426,029.72 = 283,464.83/x
  3. Step 3: Cross multiply
    308,876.42x = 426,029.72 × 283,464.83
  4. Step 4: Simplify right side
    308,876.42x = 120,764,438,607.28
  5. Step 5: Solve for x
    x = 120,764,438,607.28/308,876.42
  6. Step 6: Final answer
    x = 390,979.80

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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.