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Finding the Fourth Proportional to 285,276, 393,679.38 and 156,212.13

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Solution

The fourth proportional to 285,276, 393,679.38 and 156,212.13 is: 215,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,276 : 393,679.38 = 156,212.13 : x
  2. Step 2: Convert to fraction form
    285,276/393,679.38 = 156,212.13/x
  3. Step 3: Cross multiply
    285,276x = 393,679.38 × 156,212.13
  4. Step 4: Simplify right side
    285,276x = 61,497,494,486.88
  5. Step 5: Solve for x
    x = 61,497,494,486.88/285,276
  6. Step 6: Final answer
    x = 215,571.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.