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Finding the Fourth Proportional to 321,885.12, 482,697.36 and 97,176

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Solution

The fourth proportional to 321,885.12, 482,697.36 and 97,176 is: 145,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,885.12 : 482,697.36 = 97,176 : x
  2. Step 2: Convert to fraction form
    321,885.12/482,697.36 = 97,176/x
  3. Step 3: Cross multiply
    321,885.12x = 482,697.36 × 97,176
  4. Step 4: Simplify right side
    321,885.12x = 46,906,598,655.36
  5. Step 5: Solve for x
    x = 46,906,598,655.36/321,885.12
  6. Step 6: Final answer
    x = 145,724.66

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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.