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Finding the Fourth Proportional to 565,911.50, 780,972.64 and 311,269.37

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Solution

The fourth proportional to 565,911.50, 780,972.64 and 311,269.37 is: 429,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,911.50 : 780,972.64 = 311,269.37 : x
  2. Step 2: Convert to fraction form
    565,911.50/780,972.64 = 311,269.37/x
  3. Step 3: Cross multiply
    565,911.50x = 780,972.64 × 311,269.37
  4. Step 4: Simplify right side
    565,911.50x = 243,092,857,735.17
  5. Step 5: Solve for x
    x = 243,092,857,735.17/565,911.50
  6. Step 6: Final answer
    x = 429,559.85

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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.