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Finding the Fourth Proportional to 274,950.40, 412,425.60 and 204,966.40

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Solution

The fourth proportional to 274,950.40, 412,425.60 and 204,966.40 is: 307,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,950.40 : 412,425.60 = 204,966.40 : x
  2. Step 2: Convert to fraction form
    274,950.40/412,425.60 = 204,966.40/x
  3. Step 3: Cross multiply
    274,950.40x = 412,425.60 × 204,966.40
  4. Step 4: Simplify right side
    274,950.40x = 84,533,390,499.84
  5. Step 5: Solve for x
    x = 84,533,390,499.84/274,950.40
  6. Step 6: Final answer
    x = 307,449.60

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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.