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Finding the Fourth Proportional to 356,042.40, 534,409.20 and 178,749.60

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Solution

The fourth proportional to 356,042.40, 534,409.20 and 178,749.60 is: 268,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,042.40 : 534,409.20 = 178,749.60 : x
  2. Step 2: Convert to fraction form
    356,042.40/534,409.20 = 178,749.60/x
  3. Step 3: Cross multiply
    356,042.40x = 534,409.20 × 178,749.60
  4. Step 4: Simplify right side
    356,042.40x = 95,525,430,736.32
  5. Step 5: Solve for x
    x = 95,525,430,736.32/356,042.40
  6. Step 6: Final answer
    x = 268,297.91

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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.