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Finding the Fourth Proportional to 409,056.48, 564,362.64 and 239,170.32

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Solution

The fourth proportional to 409,056.48, 564,362.64 and 239,170.32 is: 329,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,056.48 : 564,362.64 = 239,170.32 : x
  2. Step 2: Convert to fraction form
    409,056.48/564,362.64 = 239,170.32/x
  3. Step 3: Cross multiply
    409,056.48x = 564,362.64 × 239,170.32
  4. Step 4: Simplify right side
    409,056.48x = 134,978,793,204.85
  5. Step 5: Solve for x
    x = 134,978,793,204.85/409,056.48
  6. Step 6: Final answer
    x = 329,975.93

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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.