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Finding the Fourth Proportional to 311,300.84, 429,595.62 and 184,039.40

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Solution

The fourth proportional to 311,300.84, 429,595.62 and 184,039.40 is: 253,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,300.84 : 429,595.62 = 184,039.40 : x
  2. Step 2: Convert to fraction form
    311,300.84/429,595.62 = 184,039.40/x
  3. Step 3: Cross multiply
    311,300.84x = 429,595.62 × 184,039.40
  4. Step 4: Simplify right side
    311,300.84x = 79,062,520,147.43
  5. Step 5: Solve for x
    x = 79,062,520,147.43/311,300.84
  6. Step 6: Final answer
    x = 253,974.64

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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.