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Finding the Fourth Proportional to 565,861.77, 780,895.76 and 311,217.21

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Solution

The fourth proportional to 565,861.77, 780,895.76 and 311,217.21 is: 429,483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,861.77 : 780,895.76 = 311,217.21 : x
  2. Step 2: Convert to fraction form
    565,861.77/780,895.76 = 311,217.21/x
  3. Step 3: Cross multiply
    565,861.77x = 780,895.76 × 311,217.21
  4. Step 4: Simplify right side
    565,861.77x = 243,028,198,171.94
  5. Step 5: Solve for x
    x = 243,028,198,171.94/565,861.77
  6. Step 6: Final answer
    x = 429,483.33

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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.