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Finding the Fourth Proportional to 565,806.16, 780,796.94 and 311,157.36

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Solution

The fourth proportional to 565,806.16, 780,796.94 and 311,157.36 is: 429,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,806.16 : 780,796.94 = 311,157.36 : x
  2. Step 2: Convert to fraction form
    565,806.16/780,796.94 = 311,157.36/x
  3. Step 3: Cross multiply
    565,806.16x = 780,796.94 × 311,157.36
  4. Step 4: Simplify right side
    565,806.16x = 242,950,714,546.48
  5. Step 5: Solve for x
    x = 242,950,714,546.48/565,806.16
  6. Step 6: Final answer
    x = 429,388.60

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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.