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Finding the Fourth Proportional to 406,284.88, 609,531 and 257,581.84

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Solution

The fourth proportional to 406,284.88, 609,531 and 257,581.84 is: 386,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,284.88 : 609,531 = 257,581.84 : x
  2. Step 2: Convert to fraction form
    406,284.88/609,531 = 257,581.84/x
  3. Step 3: Cross multiply
    406,284.88x = 609,531 × 257,581.84
  4. Step 4: Simplify right side
    406,284.88x = 157,004,116,517.04
  5. Step 5: Solve for x
    x = 157,004,116,517.04/406,284.88
  6. Step 6: Final answer
    x = 386,438.49

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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.