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Finding the Fourth Proportional to 306,914.94, 423,427.95 and 306,441.90

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Solution

The fourth proportional to 306,914.94, 423,427.95 and 306,441.90 is: 422,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,914.94 : 423,427.95 = 306,441.90 : x
  2. Step 2: Convert to fraction form
    306,914.94/423,427.95 = 306,441.90/x
  3. Step 3: Cross multiply
    306,914.94x = 423,427.95 × 306,441.90
  4. Step 4: Simplify right side
    306,914.94x = 129,756,065,511.11
  5. Step 5: Solve for x
    x = 129,756,065,511.11/306,914.94
  6. Step 6: Final answer
    x = 422,775.33

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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.