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Finding the Fourth Proportional to 323,814.36, 482,465.85 and 305,706

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Solution

The fourth proportional to 323,814.36, 482,465.85 and 305,706 is: 455,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,814.36 : 482,465.85 = 305,706 : x
  2. Step 2: Convert to fraction form
    323,814.36/482,465.85 = 305,706/x
  3. Step 3: Cross multiply
    323,814.36x = 482,465.85 × 305,706
  4. Step 4: Simplify right side
    323,814.36x = 147,492,705,140.10
  5. Step 5: Solve for x
    x = 147,492,705,140.10/323,814.36
  6. Step 6: Final answer
    x = 455,485.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.