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Finding the Fourth Proportional to 419,502.34, 578,893.31 and 238,190.52

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Solution

The fourth proportional to 419,502.34, 578,893.31 and 238,190.52 is: 328,691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,502.34 : 578,893.31 = 238,190.52 : x
  2. Step 2: Convert to fraction form
    419,502.34/578,893.31 = 238,190.52/x
  3. Step 3: Cross multiply
    419,502.34x = 578,893.31 × 238,190.52
  4. Step 4: Simplify right side
    419,502.34x = 137,886,898,533.42
  5. Step 5: Solve for x
    x = 137,886,898,533.42/419,502.34
  6. Step 6: Final answer
    x = 328,691.61

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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.