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Finding the Fourth Proportional to 321,983.20, 482,972.40 and 97,343.20

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Solution

The fourth proportional to 321,983.20, 482,972.40 and 97,343.20 is: 146,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,983.20 : 482,972.40 = 97,343.20 : x
  2. Step 2: Convert to fraction form
    321,983.20/482,972.40 = 97,343.20/x
  3. Step 3: Cross multiply
    321,983.20x = 482,972.40 × 97,343.20
  4. Step 4: Simplify right side
    321,983.20x = 47,014,078,927.68
  5. Step 5: Solve for x
    x = 47,014,078,927.68/321,983.20
  6. Step 6: Final answer
    x = 146,014.07

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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.