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Finding the Fourth Proportional to 290,003.60, 434,789.40 and 149,862.80

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Solution

The fourth proportional to 290,003.60, 434,789.40 and 149,862.80 is: 224,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,003.60 : 434,789.40 = 149,862.80 : x
  2. Step 2: Convert to fraction form
    290,003.60/434,789.40 = 149,862.80/x
  3. Step 3: Cross multiply
    290,003.60x = 434,789.40 × 149,862.80
  4. Step 4: Simplify right side
    290,003.60x = 65,158,756,894.32
  5. Step 5: Solve for x
    x = 65,158,756,894.32/290,003.60
  6. Step 6: Final answer
    x = 224,682.58

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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.