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Finding the Fourth Proportional to 406,704.88, 608,930.52 and 306,561.52

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Solution

The fourth proportional to 406,704.88, 608,930.52 and 306,561.52 is: 458,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,704.88 : 608,930.52 = 306,561.52 : x
  2. Step 2: Convert to fraction form
    406,704.88/608,930.52 = 306,561.52/x
  3. Step 3: Cross multiply
    406,704.88x = 608,930.52 × 306,561.52
  4. Step 4: Simplify right side
    406,704.88x = 186,674,665,785.59
  5. Step 5: Solve for x
    x = 186,674,665,785.59/406,704.88
  6. Step 6: Final answer
    x = 458,992.93

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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.