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Finding the Fourth Proportional to 290,327.88, 435,083.40 and 230,899.80

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Solution

The fourth proportional to 290,327.88, 435,083.40 and 230,899.80 is: 346,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,327.88 : 435,083.40 = 230,899.80 : x
  2. Step 2: Convert to fraction form
    290,327.88/435,083.40 = 230,899.80/x
  3. Step 3: Cross multiply
    290,327.88x = 435,083.40 × 230,899.80
  4. Step 4: Simplify right side
    290,327.88x = 100,460,670,043.32
  5. Step 5: Solve for x
    x = 100,460,670,043.32/290,327.88
  6. Step 6: Final answer
    x = 346,024.88

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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.