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Finding the Fourth Proportional to 494,878.61, 742,169.84 and 258,092.12

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Solution

The fourth proportional to 494,878.61, 742,169.84 and 258,092.12 is: 387,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,878.61 : 742,169.84 = 258,092.12 : x
  2. Step 2: Convert to fraction form
    494,878.61/742,169.84 = 258,092.12/x
  3. Step 3: Cross multiply
    494,878.61x = 742,169.84 × 258,092.12
  4. Step 4: Simplify right side
    494,878.61x = 191,548,189,422.39
  5. Step 5: Solve for x
    x = 191,548,189,422.39/494,878.61
  6. Step 6: Final answer
    x = 387,060.96

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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.