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Finding the Fourth Proportional to 565,667.31, 780,623.82 and 311,034.90

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Solution

The fourth proportional to 565,667.31, 780,623.82 and 311,034.90 is: 429,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,667.31 : 780,623.82 = 311,034.90 : x
  2. Step 2: Convert to fraction form
    565,667.31/780,623.82 = 311,034.90/x
  3. Step 3: Cross multiply
    565,667.31x = 780,623.82 × 311,034.90
  4. Step 4: Simplify right side
    565,667.31x = 242,801,251,791.32
  5. Step 5: Solve for x
    x = 242,801,251,791.32/565,667.31
  6. Step 6: Final answer
    x = 429,229.77

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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.