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Finding the Fourth Proportional to 307,814, 424,960 and 234,642.56

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Solution

The fourth proportional to 307,814, 424,960 and 234,642.56 is: 323,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,814 : 424,960 = 234,642.56 : x
  2. Step 2: Convert to fraction form
    307,814/424,960 = 234,642.56/x
  3. Step 3: Cross multiply
    307,814x = 424,960 × 234,642.56
  4. Step 4: Simplify right side
    307,814x = 99,713,702,297.60
  5. Step 5: Solve for x
    x = 99,713,702,297.60/307,814
  6. Step 6: Final answer
    x = 323,941.41

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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.