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Finding the Fourth Proportional to 321,497.12, 482,271.91 and 161,490.74

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Solution

The fourth proportional to 321,497.12, 482,271.91 and 161,490.74 is: 242,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,497.12 : 482,271.91 = 161,490.74 : x
  2. Step 2: Convert to fraction form
    321,497.12/482,271.91 = 161,490.74/x
  3. Step 3: Cross multiply
    321,497.12x = 482,271.91 × 161,490.74
  4. Step 4: Simplify right side
    321,497.12x = 77,882,444,812.03
  5. Step 5: Solve for x
    x = 77,882,444,812.03/321,497.12
  6. Step 6: Final answer
    x = 242,249.27

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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.