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Finding the Fourth Proportional to 523,383.66, 783,879.93 and 312,589.26

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Solution

The fourth proportional to 523,383.66, 783,879.93 and 312,589.26 is: 468,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,383.66 : 783,879.93 = 312,589.26 : x
  2. Step 2: Convert to fraction form
    523,383.66/783,879.93 = 312,589.26/x
  3. Step 3: Cross multiply
    523,383.66x = 783,879.93 × 312,589.26
  4. Step 4: Simplify right side
    523,383.66x = 245,032,447,247.55
  5. Step 5: Solve for x
    x = 245,032,447,247.55/523,383.66
  6. Step 6: Final answer
    x = 468,169.85

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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.