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Finding the Fourth Proportional to 284,325.77, 392,390.22 and 163,504.95

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Solution

The fourth proportional to 284,325.77, 392,390.22 and 163,504.95 is: 225,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,325.77 : 392,390.22 = 163,504.95 : x
  2. Step 2: Convert to fraction form
    284,325.77/392,390.22 = 163,504.95/x
  3. Step 3: Cross multiply
    284,325.77x = 392,390.22 × 163,504.95
  4. Step 4: Simplify right side
    284,325.77x = 64,157,743,301.59
  5. Step 5: Solve for x
    x = 64,157,743,301.59/284,325.77
  6. Step 6: Final answer
    x = 225,648.71

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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.