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Finding the Fourth Proportional to 258,309.54, 387,463.77 and 71,320.50

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Solution

The fourth proportional to 258,309.54, 387,463.77 and 71,320.50 is: 106,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,309.54 : 387,463.77 = 71,320.50 : x
  2. Step 2: Convert to fraction form
    258,309.54/387,463.77 = 71,320.50/x
  3. Step 3: Cross multiply
    258,309.54x = 387,463.77 × 71,320.50
  4. Step 4: Simplify right side
    258,309.54x = 27,634,109,808.29
  5. Step 5: Solve for x
    x = 27,634,109,808.29/258,309.54
  6. Step 6: Final answer
    x = 106,980.60

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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.