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Finding the Fourth Proportional to 462,499.75, 693,824.44 and 142,576.78

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Solution

The fourth proportional to 462,499.75, 693,824.44 and 142,576.78 is: 213,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,499.75 : 693,824.44 = 142,576.78 : x
  2. Step 2: Convert to fraction form
    462,499.75/693,824.44 = 142,576.78/x
  3. Step 3: Cross multiply
    462,499.75x = 693,824.44 × 142,576.78
  4. Step 4: Simplify right side
    462,499.75x = 98,923,251,994.50
  5. Step 5: Solve for x
    x = 98,923,251,994.50/462,499.75
  6. Step 6: Final answer
    x = 213,888.23

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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.