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Finding the Fourth Proportional to 409,199.54, 564,697.05 and 239,400.86

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Solution

The fourth proportional to 409,199.54, 564,697.05 and 239,400.86 is: 330,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,199.54 : 564,697.05 = 239,400.86 : x
  2. Step 2: Convert to fraction form
    409,199.54/564,697.05 = 239,400.86/x
  3. Step 3: Cross multiply
    409,199.54x = 564,697.05 × 239,400.86
  4. Step 4: Simplify right side
    409,199.54x = 135,188,959,409.46
  5. Step 5: Solve for x
    x = 135,188,959,409.46/409,199.54
  6. Step 6: Final answer
    x = 330,374.17

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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.