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Finding the Fourth Proportional to 481,231, 721,846.50 and 148,807

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Solution

The fourth proportional to 481,231, 721,846.50 and 148,807 is: 223,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,231 : 721,846.50 = 148,807 : x
  2. Step 2: Convert to fraction form
    481,231/721,846.50 = 148,807/x
  3. Step 3: Cross multiply
    481,231x = 721,846.50 × 148,807
  4. Step 4: Simplify right side
    481,231x = 107,415,812,125.50
  5. Step 5: Solve for x
    x = 107,415,812,125.50/481,231
  6. Step 6: Final answer
    x = 223,210.50

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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.