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Finding the Fourth Proportional to 492,849.60, 739,274.40 and 408,868.80

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Solution

The fourth proportional to 492,849.60, 739,274.40 and 408,868.80 is: 613,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,849.60 : 739,274.40 = 408,868.80 : x
  2. Step 2: Convert to fraction form
    492,849.60/739,274.40 = 408,868.80/x
  3. Step 3: Cross multiply
    492,849.60x = 739,274.40 × 408,868.80
  4. Step 4: Simplify right side
    492,849.60x = 302,266,236,798.72
  5. Step 5: Solve for x
    x = 302,266,236,798.72/492,849.60
  6. Step 6: Final answer
    x = 613,303.20

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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.