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Finding the Fourth Proportional to 284,705.75, 392,898.60 and 169,994.42

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Solution

The fourth proportional to 284,705.75, 392,898.60 and 169,994.42 is: 234,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,705.75 : 392,898.60 = 169,994.42 : x
  2. Step 2: Convert to fraction form
    284,705.75/392,898.60 = 169,994.42/x
  3. Step 3: Cross multiply
    284,705.75x = 392,898.60 × 169,994.42
  4. Step 4: Simplify right side
    284,705.75x = 66,790,569,134.69
  5. Step 5: Solve for x
    x = 66,790,569,134.69/284,705.75
  6. Step 6: Final answer
    x = 234,595.08

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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.