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Finding the Fourth Proportional to 420,643.33, 580,460.78 and 229,656.26

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Solution

The fourth proportional to 420,643.33, 580,460.78 and 229,656.26 is: 316,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,643.33 : 580,460.78 = 229,656.26 : x
  2. Step 2: Convert to fraction form
    420,643.33/580,460.78 = 229,656.26/x
  3. Step 3: Cross multiply
    420,643.33x = 580,460.78 × 229,656.26
  4. Step 4: Simplify right side
    420,643.33x = 133,306,453,836.78
  5. Step 5: Solve for x
    x = 133,306,453,836.78/420,643.33
  6. Step 6: Final answer
    x = 316,910.90

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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.