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Finding the Fourth Proportional to 290,994.40, 436,364.32 and 146,811.52

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Solution

The fourth proportional to 290,994.40, 436,364.32 and 146,811.52 is: 220,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,994.40 : 436,364.32 = 146,811.52 : x
  2. Step 2: Convert to fraction form
    290,994.40/436,364.32 = 146,811.52/x
  3. Step 3: Cross multiply
    290,994.40x = 436,364.32 × 146,811.52
  4. Step 4: Simplify right side
    290,994.40x = 64,063,309,092.97
  5. Step 5: Solve for x
    x = 64,063,309,092.97/290,994.40
  6. Step 6: Final answer
    x = 220,153.07

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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.