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Finding the Fourth Proportional to 445,034.96, 667,085.88 and 208,178

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Solution

The fourth proportional to 445,034.96, 667,085.88 and 208,178 is: 312,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,034.96 : 667,085.88 = 208,178 : x
  2. Step 2: Convert to fraction form
    445,034.96/667,085.88 = 208,178/x
  3. Step 3: Cross multiply
    445,034.96x = 667,085.88 × 208,178
  4. Step 4: Simplify right side
    445,034.96x = 138,872,604,326.64
  5. Step 5: Solve for x
    x = 138,872,604,326.64/445,034.96
  6. Step 6: Final answer
    x = 312,048.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.