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Finding the Fourth Proportional to 258,624.60, 387,920.76 and 123,784.44

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Solution

The fourth proportional to 258,624.60, 387,920.76 and 123,784.44 is: 185,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,624.60 : 387,920.76 = 123,784.44 : x
  2. Step 2: Convert to fraction form
    258,624.60/387,920.76 = 123,784.44/x
  3. Step 3: Cross multiply
    258,624.60x = 387,920.76 × 123,784.44
  4. Step 4: Simplify right side
    258,624.60x = 48,018,554,040.97
  5. Step 5: Solve for x
    x = 48,018,554,040.97/258,624.60
  6. Step 6: Final answer
    x = 185,668.93

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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.