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Finding the Fourth Proportional to 284,089.70, 392,065.92 and 163,273.14

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Solution

The fourth proportional to 284,089.70, 392,065.92 and 163,273.14 is: 225,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,089.70 : 392,065.92 = 163,273.14 : x
  2. Step 2: Convert to fraction form
    284,089.70/392,065.92 = 163,273.14/x
  3. Step 3: Cross multiply
    284,089.70x = 392,065.92 × 163,273.14
  4. Step 4: Simplify right side
    284,089.70x = 64,013,833,845.39
  5. Step 5: Solve for x
    x = 64,013,833,845.39/284,089.70
  6. Step 6: Final answer
    x = 225,329.65

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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.