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Finding the Fourth Proportional to 284,705.18, 392,897.82 and 169,993.86

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Solution

The fourth proportional to 284,705.18, 392,897.82 and 169,993.86 is: 234,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,705.18 : 392,897.82 = 169,993.86 : x
  2. Step 2: Convert to fraction form
    284,705.18/392,897.82 = 169,993.86/x
  3. Step 3: Cross multiply
    284,705.18x = 392,897.82 × 169,993.86
  4. Step 4: Simplify right side
    284,705.18x = 66,790,216,171.50
  5. Step 5: Solve for x
    x = 66,790,216,171.50/284,705.18
  6. Step 6: Final answer
    x = 234,594.31

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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.