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Finding the Fourth Proportional to 419,987.88, 579,570.66 and 229,005

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Solution

The fourth proportional to 419,987.88, 579,570.66 and 229,005 is: 316,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,987.88 : 579,570.66 = 229,005 : x
  2. Step 2: Convert to fraction form
    419,987.88/579,570.66 = 229,005/x
  3. Step 3: Cross multiply
    419,987.88x = 579,570.66 × 229,005
  4. Step 4: Simplify right side
    419,987.88x = 132,724,578,993.30
  5. Step 5: Solve for x
    x = 132,724,578,993.30/419,987.88
  6. Step 6: Final answer
    x = 316,020.02

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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.