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Finding the Fourth Proportional to 284,192.88, 392,186.20 and 156,868.50

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Solution

The fourth proportional to 284,192.88, 392,186.20 and 156,868.50 is: 216,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,192.88 : 392,186.20 = 156,868.50 : x
  2. Step 2: Convert to fraction form
    284,192.88/392,186.20 = 156,868.50/x
  3. Step 3: Cross multiply
    284,192.88x = 392,186.20 × 156,868.50
  4. Step 4: Simplify right side
    284,192.88x = 61,521,660,914.70
  5. Step 5: Solve for x
    x = 61,521,660,914.70/284,192.88
  6. Step 6: Final answer
    x = 216,478.54

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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.