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Finding the Fourth Proportional to 258,712.80, 356,969.76 and 151,261.92

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Solution

The fourth proportional to 258,712.80, 356,969.76 and 151,261.92 is: 208,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,712.80 : 356,969.76 = 151,261.92 : x
  2. Step 2: Convert to fraction form
    258,712.80/356,969.76 = 151,261.92/x
  3. Step 3: Cross multiply
    258,712.80x = 356,969.76 × 151,261.92
  4. Step 4: Simplify right side
    258,712.80x = 53,995,931,279.54
  5. Step 5: Solve for x
    x = 53,995,931,279.54/258,712.80
  6. Step 6: Final answer
    x = 208,709.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.