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Finding the Fourth Proportional to 565,481.76, 780,360.24 and 310,830.24

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Solution

The fourth proportional to 565,481.76, 780,360.24 and 310,830.24 is: 428,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,481.76 : 780,360.24 = 310,830.24 : x
  2. Step 2: Convert to fraction form
    565,481.76/780,360.24 = 310,830.24/x
  3. Step 3: Cross multiply
    565,481.76x = 780,360.24 × 310,830.24
  4. Step 4: Simplify right side
    565,481.76x = 242,559,560,685.66
  5. Step 5: Solve for x
    x = 242,559,560,685.66/565,481.76
  6. Step 6: Final answer
    x = 428,943.21

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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.