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Finding the Fourth Proportional to 290,910.66, 436,415.20 and 148,817.64

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Solution

The fourth proportional to 290,910.66, 436,415.20 and 148,817.64 is: 223,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,910.66 : 436,415.20 = 148,817.64 : x
  2. Step 2: Convert to fraction form
    290,910.66/436,415.20 = 148,817.64/x
  3. Step 3: Cross multiply
    290,910.66x = 436,415.20 × 148,817.64
  4. Step 4: Simplify right side
    290,910.66x = 64,946,280,124.13
  5. Step 5: Solve for x
    x = 64,946,280,124.13/290,910.66
  6. Step 6: Final answer
    x = 223,251.63

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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.