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Finding the Fourth Proportional to 303,711.90, 455,697.45 and 145,859.10

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Solution

The fourth proportional to 303,711.90, 455,697.45 and 145,859.10 is: 218,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,711.90 : 455,697.45 = 145,859.10 : x
  2. Step 2: Convert to fraction form
    303,711.90/455,697.45 = 145,859.10/x
  3. Step 3: Cross multiply
    303,711.90x = 455,697.45 × 145,859.10
  4. Step 4: Simplify right side
    303,711.90x = 66,467,619,929.30
  5. Step 5: Solve for x
    x = 66,467,619,929.30/303,711.90
  6. Step 6: Final answer
    x = 218,850.89

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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.