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Finding the Fourth Proportional to 395,213.84, 592,850.80 and 155,212

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Solution

The fourth proportional to 395,213.84, 592,850.80 and 155,212 is: 232,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,213.84 : 592,850.80 = 155,212 : x
  2. Step 2: Convert to fraction form
    395,213.84/592,850.80 = 155,212/x
  3. Step 3: Cross multiply
    395,213.84x = 592,850.80 × 155,212
  4. Step 4: Simplify right side
    395,213.84x = 92,017,558,369.60
  5. Step 5: Solve for x
    x = 92,017,558,369.60/395,213.84
  6. Step 6: Final answer
    x = 232,829.80

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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.