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Finding the Fourth Proportional to 405,056, 558,971.52 and 235,385.60

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Solution

The fourth proportional to 405,056, 558,971.52 and 235,385.60 is: 324,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,056 : 558,971.52 = 235,385.60 : x
  2. Step 2: Convert to fraction form
    405,056/558,971.52 = 235,385.60/x
  3. Step 3: Cross multiply
    405,056x = 558,971.52 × 235,385.60
  4. Step 4: Simplify right side
    405,056x = 131,573,846,618.11
  5. Step 5: Solve for x
    x = 131,573,846,618.11/405,056
  6. Step 6: Final answer
    x = 324,828.78

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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.