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Finding the Fourth Proportional to 258,370.73, 387,531.03 and 78,457.71

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Solution

The fourth proportional to 258,370.73, 387,531.03 and 78,457.71 is: 117,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,370.73 : 387,531.03 = 78,457.71 : x
  2. Step 2: Convert to fraction form
    258,370.73/387,531.03 = 78,457.71/x
  3. Step 3: Cross multiply
    258,370.73x = 387,531.03 × 78,457.71
  4. Step 4: Simplify right side
    258,370.73x = 30,404,797,167.74
  5. Step 5: Solve for x
    x = 30,404,797,167.74/258,370.73
  6. Step 6: Final answer
    x = 117,678.96

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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.