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Finding the Fourth Proportional to 565,805.96, 780,796.64 and 311,157.14

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Solution

The fourth proportional to 565,805.96, 780,796.64 and 311,157.14 is: 429,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,805.96 : 780,796.64 = 311,157.14 : x
  2. Step 2: Convert to fraction form
    565,805.96/780,796.64 = 311,157.14/x
  3. Step 3: Cross multiply
    565,805.96x = 780,796.64 × 311,157.14
  4. Step 4: Simplify right side
    565,805.96x = 242,950,452,153.89
  5. Step 5: Solve for x
    x = 242,950,452,153.89/565,805.96
  6. Step 6: Final answer
    x = 429,388.29

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1.5x scale

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.