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Finding the Fourth Proportional to 565,236.35, 780,025.97 and 310,603.94

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Solution

The fourth proportional to 565,236.35, 780,025.97 and 310,603.94 is: 428,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,236.35 : 780,025.97 = 310,603.94 : x
  2. Step 2: Convert to fraction form
    565,236.35/780,025.97 = 310,603.94/x
  3. Step 3: Cross multiply
    565,236.35x = 780,025.97 × 310,603.94
  4. Step 4: Simplify right side
    565,236.35x = 242,279,136,460.70
  5. Step 5: Solve for x
    x = 242,279,136,460.70/565,236.35
  6. Step 6: Final answer
    x = 428,633.33

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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.