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Finding the Fourth Proportional to 290,450.98, 435,045.53 and 140,376.54

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Solution

The fourth proportional to 290,450.98, 435,045.53 and 140,376.54 is: 210,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,450.98 : 435,045.53 = 140,376.54 : x
  2. Step 2: Convert to fraction form
    290,450.98/435,045.53 = 140,376.54/x
  3. Step 3: Cross multiply
    290,450.98x = 435,045.53 × 140,376.54
  4. Step 4: Simplify right side
    290,450.98x = 61,070,188,226.23
  5. Step 5: Solve for x
    x = 61,070,188,226.23/290,450.98
  6. Step 6: Final answer
    x = 210,259.88

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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.