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Finding the Fourth Proportional to 321,909, 482,706.36 and 97,226.34

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Solution

The fourth proportional to 321,909, 482,706.36 and 97,226.34 is: 145,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,909 : 482,706.36 = 97,226.34 : x
  2. Step 2: Convert to fraction form
    321,909/482,706.36 = 97,226.34/x
  3. Step 3: Cross multiply
    321,909x = 482,706.36 × 97,226.34
  4. Step 4: Simplify right side
    321,909x = 46,931,772,677.52
  5. Step 5: Solve for x
    x = 46,931,772,677.52/321,909
  6. Step 6: Final answer
    x = 145,792.05

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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.