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Finding the Fourth Proportional to 565,919.36, 780,969.12 and 311,289.92

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Solution

The fourth proportional to 565,919.36, 780,969.12 and 311,289.92 is: 429,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,919.36 : 780,969.12 = 311,289.92 : x
  2. Step 2: Convert to fraction form
    565,919.36/780,969.12 = 311,289.92/x
  3. Step 3: Cross multiply
    565,919.36x = 780,969.12 × 311,289.92
  4. Step 4: Simplify right side
    565,919.36x = 243,107,814,887.27
  5. Step 5: Solve for x
    x = 243,107,814,887.27/565,919.36
  6. Step 6: Final answer
    x = 429,580.31

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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.