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Finding the Fourth Proportional to 420,638.58, 580,478.25 and 229,651.98

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Solution

The fourth proportional to 420,638.58, 580,478.25 and 229,651.98 is: 316,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,638.58 : 580,478.25 = 229,651.98 : x
  2. Step 2: Convert to fraction form
    420,638.58/580,478.25 = 229,651.98/x
  3. Step 3: Cross multiply
    420,638.58x = 580,478.25 × 229,651.98
  4. Step 4: Simplify right side
    420,638.58x = 133,307,979,459.44
  5. Step 5: Solve for x
    x = 133,307,979,459.44/420,638.58
  6. Step 6: Final answer
    x = 316,918.10

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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.