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Finding the Fourth Proportional to 284,122.44, 392,078.70 and 156,795.30

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Solution

The fourth proportional to 284,122.44, 392,078.70 and 156,795.30 is: 216,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,122.44 : 392,078.70 = 156,795.30 : x
  2. Step 2: Convert to fraction form
    284,122.44/392,078.70 = 156,795.30/x
  3. Step 3: Cross multiply
    284,122.44x = 392,078.70 × 156,795.30
  4. Step 4: Simplify right side
    284,122.44x = 61,476,097,390.11
  5. Step 5: Solve for x
    x = 61,476,097,390.11/284,122.44
  6. Step 6: Final answer
    x = 216,371.85

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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.