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Finding the Fourth Proportional to 284,098.69, 392,123.29 and 163,310.05

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Solution

The fourth proportional to 284,098.69, 392,123.29 and 163,310.05 is: 225,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,098.69 : 392,123.29 = 163,310.05 : x
  2. Step 2: Convert to fraction form
    284,098.69/392,123.29 = 163,310.05/x
  3. Step 3: Cross multiply
    284,098.69x = 392,123.29 × 163,310.05
  4. Step 4: Simplify right side
    284,098.69x = 64,037,674,096.06
  5. Step 5: Solve for x
    x = 64,037,674,096.06/284,098.69
  6. Step 6: Final answer
    x = 225,406.44

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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.