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Finding the Fourth Proportional to 565,879.68, 780,885 and 311,181.84

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Solution

The fourth proportional to 565,879.68, 780,885 and 311,181.84 is: 429,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,879.68 : 780,885 = 311,181.84 : x
  2. Step 2: Convert to fraction form
    565,879.68/780,885 = 311,181.84/x
  3. Step 3: Cross multiply
    565,879.68x = 780,885 × 311,181.84
  4. Step 4: Simplify right side
    565,879.68x = 242,997,231,128.40
  5. Step 5: Solve for x
    x = 242,997,231,128.40/565,879.68
  6. Step 6: Final answer
    x = 429,415.01

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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.