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Finding the Fourth Proportional to 284,481.10, 392,652.93 and 163,685.80

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Solution

The fourth proportional to 284,481.10, 392,652.93 and 163,685.80 is: 225,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,481.10 : 392,652.93 = 163,685.80 : x
  2. Step 2: Convert to fraction form
    284,481.10/392,652.93 = 163,685.80/x
  3. Step 3: Cross multiply
    284,481.10x = 392,652.93 × 163,685.80
  4. Step 4: Simplify right side
    284,481.10x = 64,271,708,969.39
  5. Step 5: Solve for x
    x = 64,271,708,969.39/284,481.10
  6. Step 6: Final answer
    x = 225,926.11

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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.