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Finding the Fourth Proportional to 193,518.40, 290,277.60 and 146,279.20

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Solution

The fourth proportional to 193,518.40, 290,277.60 and 146,279.20 is: 219,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,518.40 : 290,277.60 = 146,279.20 : x
  2. Step 2: Convert to fraction form
    193,518.40/290,277.60 = 146,279.20/x
  3. Step 3: Cross multiply
    193,518.40x = 290,277.60 × 146,279.20
  4. Step 4: Simplify right side
    193,518.40x = 42,461,575,105.92
  5. Step 5: Solve for x
    x = 42,461,575,105.92/193,518.40
  6. Step 6: Final answer
    x = 219,418.80

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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.