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Finding the Fourth Proportional to 307,829.52, 462,028.12 and 156,133.06

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Solution

The fourth proportional to 307,829.52, 462,028.12 and 156,133.06 is: 234,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,829.52 : 462,028.12 = 156,133.06 : x
  2. Step 2: Convert to fraction form
    307,829.52/462,028.12 = 156,133.06/x
  3. Step 3: Cross multiply
    307,829.52x = 462,028.12 × 156,133.06
  4. Step 4: Simplify right side
    307,829.52x = 72,137,864,181.65
  5. Step 5: Solve for x
    x = 72,137,864,181.65/307,829.52
  6. Step 6: Final answer
    x = 234,343.56

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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.