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Finding the Fourth Proportional to 258,596.35, 387,064.83 and 138,352.51

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Solution

The fourth proportional to 258,596.35, 387,064.83 and 138,352.51 is: 207,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,596.35 : 387,064.83 = 138,352.51 : x
  2. Step 2: Convert to fraction form
    258,596.35/387,064.83 = 138,352.51/x
  3. Step 3: Cross multiply
    258,596.35x = 387,064.83 × 138,352.51
  4. Step 4: Simplify right side
    258,596.35x = 53,551,388,810.40
  5. Step 5: Solve for x
    x = 53,551,388,810.40/258,596.35
  6. Step 6: Final answer
    x = 207,084.86

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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.