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Finding the Fourth Proportional to 462,766, 638,590.44 and 256,021.96

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Solution

The fourth proportional to 462,766, 638,590.44 and 256,021.96 is: 353,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,766 : 638,590.44 = 256,021.96 : x
  2. Step 2: Convert to fraction form
    462,766/638,590.44 = 256,021.96/x
  3. Step 3: Cross multiply
    462,766x = 638,590.44 × 256,021.96
  4. Step 4: Simplify right side
    462,766x = 163,493,176,086.06
  5. Step 5: Solve for x
    x = 163,493,176,086.06/462,766
  6. Step 6: Final answer
    x = 353,295.57

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1.5x scale

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.