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Finding the Fourth Proportional to 311,580.78, 429,979.28 and 184,253.64

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Solution

The fourth proportional to 311,580.78, 429,979.28 and 184,253.64 is: 254,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,580.78 : 429,979.28 = 184,253.64 : x
  2. Step 2: Convert to fraction form
    311,580.78/429,979.28 = 184,253.64/x
  3. Step 3: Cross multiply
    311,580.78x = 429,979.28 × 184,253.64
  4. Step 4: Simplify right side
    311,580.78x = 79,225,247,464.58
  5. Step 5: Solve for x
    x = 79,225,247,464.58/311,580.78
  6. Step 6: Final answer
    x = 254,268.72

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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.