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Finding the Fourth Proportional to 565,383.06, 780,231.15 and 310,750.65

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Solution

The fourth proportional to 565,383.06, 780,231.15 and 310,750.65 is: 428,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,383.06 : 780,231.15 = 310,750.65 : x
  2. Step 2: Convert to fraction form
    565,383.06/780,231.15 = 310,750.65/x
  3. Step 3: Cross multiply
    565,383.06x = 780,231.15 × 310,750.65
  4. Step 4: Simplify right side
    565,383.06x = 242,457,337,012.75
  5. Step 5: Solve for x
    x = 242,457,337,012.75/565,383.06
  6. Step 6: Final answer
    x = 428,837.29

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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.