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Finding the Fourth Proportional to 519,624.80, 778,708.20 and 413,190.80

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Solution

The fourth proportional to 519,624.80, 778,708.20 and 413,190.80 is: 619,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,624.80 : 778,708.20 = 413,190.80 : x
  2. Step 2: Convert to fraction form
    519,624.80/778,708.20 = 413,190.80/x
  3. Step 3: Cross multiply
    519,624.80x = 778,708.20 × 413,190.80
  4. Step 4: Simplify right side
    519,624.80x = 321,755,064,124.56
  5. Step 5: Solve for x
    x = 321,755,064,124.56/519,624.80
  6. Step 6: Final answer
    x = 619,206.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.