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Finding the Fourth Proportional to 307,970.20, 462,003.90 and 97,629.40

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Solution

The fourth proportional to 307,970.20, 462,003.90 and 97,629.40 is: 146,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,970.20 : 462,003.90 = 97,629.40 : x
  2. Step 2: Convert to fraction form
    307,970.20/462,003.90 = 97,629.40/x
  3. Step 3: Cross multiply
    307,970.20x = 462,003.90 × 97,629.40
  4. Step 4: Simplify right side
    307,970.20x = 45,105,163,554.66
  5. Step 5: Solve for x
    x = 45,105,163,554.66/307,970.20
  6. Step 6: Final answer
    x = 146,459.51

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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.