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Finding the Fourth Proportional to 284,190.31, 392,185.83 and 156,865.87

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Solution

The fourth proportional to 284,190.31, 392,185.83 and 156,865.87 is: 216,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,190.31 : 392,185.83 = 156,865.87 : x
  2. Step 2: Convert to fraction form
    284,190.31/392,185.83 = 156,865.87/x
  3. Step 3: Cross multiply
    284,190.31x = 392,185.83 × 156,865.87
  4. Step 4: Simplify right side
    284,190.31x = 61,520,571,424.62
  5. Step 5: Solve for x
    x = 61,520,571,424.62/284,190.31
  6. Step 6: Final answer
    x = 216,476.67

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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.