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Finding the Fourth Proportional to 420,651.48, 580,057.10 and 277,228.04

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Solution

The fourth proportional to 420,651.48, 580,057.10 and 277,228.04 is: 382,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,651.48 : 580,057.10 = 277,228.04 : x
  2. Step 2: Convert to fraction form
    420,651.48/580,057.10 = 277,228.04/x
  3. Step 3: Cross multiply
    420,651.48x = 580,057.10 × 277,228.04
  4. Step 4: Simplify right side
    420,651.48x = 160,808,092,921.08
  5. Step 5: Solve for x
    x = 160,808,092,921.08/420,651.48
  6. Step 6: Final answer
    x = 382,283.44

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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.