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Finding the Fourth Proportional to 519,939.80, 779,180.70 and 413,505.80

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Solution

The fourth proportional to 519,939.80, 779,180.70 and 413,505.80 is: 619,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,939.80 : 779,180.70 = 413,505.80 : x
  2. Step 2: Convert to fraction form
    519,939.80/779,180.70 = 413,505.80/x
  3. Step 3: Cross multiply
    519,939.80x = 779,180.70 × 413,505.80
  4. Step 4: Simplify right side
    519,939.80x = 322,195,738,698.06
  5. Step 5: Solve for x
    x = 322,195,738,698.06/519,939.80
  6. Step 6: Final answer
    x = 619,678.93

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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.