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Finding the Fourth Proportional to 321,578.53, 482,212 and 96,897.08

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Solution

The fourth proportional to 321,578.53, 482,212 and 96,897.08 is: 145,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,578.53 : 482,212 = 96,897.08 : x
  2. Step 2: Convert to fraction form
    321,578.53/482,212 = 96,897.08/x
  3. Step 3: Cross multiply
    321,578.53x = 482,212 × 96,897.08
  4. Step 4: Simplify right side
    321,578.53x = 46,724,934,740.96
  5. Step 5: Solve for x
    x = 46,724,934,740.96/321,578.53
  6. Step 6: Final answer
    x = 145,298.68

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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.