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Finding the Fourth Proportional to 309,969.40, 464,954.10 and 219,427.60

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Solution

The fourth proportional to 309,969.40, 464,954.10 and 219,427.60 is: 329,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,969.40 : 464,954.10 = 219,427.60 : x
  2. Step 2: Convert to fraction form
    309,969.40/464,954.10 = 219,427.60/x
  3. Step 3: Cross multiply
    309,969.40x = 464,954.10 × 219,427.60
  4. Step 4: Simplify right side
    309,969.40x = 102,023,762,273.16
  5. Step 5: Solve for x
    x = 102,023,762,273.16/309,969.40
  6. Step 6: Final answer
    x = 329,141.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.