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Finding the Fourth Proportional to 490,307.56, 676,704.68 and 408,506.08

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Solution

The fourth proportional to 490,307.56, 676,704.68 and 408,506.08 is: 563,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,307.56 : 676,704.68 = 408,506.08 : x
  2. Step 2: Convert to fraction form
    490,307.56/676,704.68 = 408,506.08/x
  3. Step 3: Cross multiply
    490,307.56x = 676,704.68 × 408,506.08
  4. Step 4: Simplify right side
    490,307.56x = 276,437,976,144.45
  5. Step 5: Solve for x
    x = 276,437,976,144.45/490,307.56
  6. Step 6: Final answer
    x = 563,805.25

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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.