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Finding the Fourth Proportional to 290,257.30, 434,401.80 and 254,827.90

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Solution

The fourth proportional to 290,257.30, 434,401.80 and 254,827.90 is: 381,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,257.30 : 434,401.80 = 254,827.90 : x
  2. Step 2: Convert to fraction form
    290,257.30/434,401.80 = 254,827.90/x
  3. Step 3: Cross multiply
    290,257.30x = 434,401.80 × 254,827.90
  4. Step 4: Simplify right side
    290,257.30x = 110,697,698,450.22
  5. Step 5: Solve for x
    x = 110,697,698,450.22/290,257.30
  6. Step 6: Final answer
    x = 381,377.83

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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.