Home / 494,208,538.40-741,312,807.60-413,586,970.40

Finding the Fourth Proportional to 494,208,538.40, 741,312,807.60 and 413,586,970.40

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Solution

The fourth proportional to 494,208,538.40, 741,312,807.60 and 413,586,970.40 is: 620,380,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,208,538.40 : 741,312,807.60 = 413,586,970.40 : x
  2. Step 2: Convert to fraction form
    494,208,538.40/741,312,807.60 = 413,586,970.40/x
  3. Step 3: Cross multiply
    494,208,538.40x = 741,312,807.60 × 413,586,970.40
  4. Step 4: Simplify right side
    494,208,538.40x = 306,597,318,214,002,112
  5. Step 5: Solve for x
    x = 306,597,318,214,002,112/494,208,538.40
  6. Step 6: Final answer
    x = 620,380,455.60

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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.