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Finding the Fourth Proportional to 419,762.18, 579,285.37 and 238,470.82

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Solution

The fourth proportional to 419,762.18, 579,285.37 and 238,470.82 is: 329,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,762.18 : 579,285.37 = 238,470.82 : x
  2. Step 2: Convert to fraction form
    419,762.18/579,285.37 = 238,470.82/x
  3. Step 3: Cross multiply
    419,762.18x = 579,285.37 × 238,470.82
  4. Step 4: Simplify right side
    419,762.18x = 138,142,656,047.78
  5. Step 5: Solve for x
    x = 138,142,656,047.78/419,762.18
  6. Step 6: Final answer
    x = 329,097.43

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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.