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Finding the Fourth Proportional to 565,946.49, 780,989.87 and 311,297.67

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Solution

The fourth proportional to 565,946.49, 780,989.87 and 311,297.67 is: 429,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,946.49 : 780,989.87 = 311,297.67 : x
  2. Step 2: Convert to fraction form
    565,946.49/780,989.87 = 311,297.67/x
  3. Step 3: Cross multiply
    565,946.49x = 780,989.87 × 311,297.67
  4. Step 4: Simplify right side
    565,946.49x = 243,120,325,268.12
  5. Step 5: Solve for x
    x = 243,120,325,268.12/565,946.49
  6. Step 6: Final answer
    x = 429,581.82

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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.