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Finding the Fourth Proportional to 406,288.88, 609,515.34 and 279,989.63

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Solution

The fourth proportional to 406,288.88, 609,515.34 and 279,989.63 is: 420,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,288.88 : 609,515.34 = 279,989.63 : x
  2. Step 2: Convert to fraction form
    406,288.88/609,515.34 = 279,989.63/x
  3. Step 3: Cross multiply
    406,288.88x = 609,515.34 × 279,989.63
  4. Step 4: Simplify right side
    406,288.88x = 170,657,974,999.75
  5. Step 5: Solve for x
    x = 170,657,974,999.75/406,288.88
  6. Step 6: Final answer
    x = 420,040.97

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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.