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Finding the Fourth Proportional to 419,501.28, 629,303.76 and 153,387.12

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Solution

The fourth proportional to 419,501.28, 629,303.76 and 153,387.12 is: 230,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,501.28 : 629,303.76 = 153,387.12 : x
  2. Step 2: Convert to fraction form
    419,501.28/629,303.76 = 153,387.12/x
  3. Step 3: Cross multiply
    419,501.28x = 629,303.76 × 153,387.12
  4. Step 4: Simplify right side
    419,501.28x = 96,527,091,351.57
  5. Step 5: Solve for x
    x = 96,527,091,351.57/419,501.28
  6. Step 6: Final answer
    x = 230,099.63

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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.