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Finding the Fourth Proportional to 284,712.84, 392,885.02 and 163,834.63

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Solution

The fourth proportional to 284,712.84, 392,885.02 and 163,834.63 is: 226,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,712.84 : 392,885.02 = 163,834.63 : x
  2. Step 2: Convert to fraction form
    284,712.84/392,885.02 = 163,834.63/x
  3. Step 3: Cross multiply
    284,712.84x = 392,885.02 × 163,834.63
  4. Step 4: Simplify right side
    284,712.84x = 64,368,171,884.24
  5. Step 5: Solve for x
    x = 64,368,171,884.24/284,712.84
  6. Step 6: Final answer
    x = 226,081.03

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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.