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Finding the Fourth Proportional to 418,652.15, 578,006.89 and 275,658.80

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Solution

The fourth proportional to 418,652.15, 578,006.89 and 275,658.80 is: 380,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,652.15 : 578,006.89 = 275,658.80 : x
  2. Step 2: Convert to fraction form
    418,652.15/578,006.89 = 275,658.80/x
  3. Step 3: Cross multiply
    418,652.15x = 578,006.89 × 275,658.80
  4. Step 4: Simplify right side
    418,652.15x = 159,332,682,109.95
  5. Step 5: Solve for x
    x = 159,332,682,109.95/418,652.15
  6. Step 6: Final answer
    x = 380,584.89

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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.