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Finding the Fourth Proportional to 405,293.92, 559,373.64 and 274,412.20

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Solution

The fourth proportional to 405,293.92, 559,373.64 and 274,412.20 is: 378,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,293.92 : 559,373.64 = 274,412.20 : x
  2. Step 2: Convert to fraction form
    405,293.92/559,373.64 = 274,412.20/x
  3. Step 3: Cross multiply
    405,293.92x = 559,373.64 × 274,412.20
  4. Step 4: Simplify right side
    405,293.92x = 153,498,951,174.41
  5. Step 5: Solve for x
    x = 153,498,951,174.41/405,293.92
  6. Step 6: Final answer
    x = 378,734.90

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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.