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Finding the Fourth Proportional to 291,648, 402,474.24 and 157,512

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Solution

The fourth proportional to 291,648, 402,474.24 and 157,512 is: 217,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,648 : 402,474.24 = 157,512 : x
  2. Step 2: Convert to fraction form
    291,648/402,474.24 = 157,512/x
  3. Step 3: Cross multiply
    291,648x = 402,474.24 × 157,512
  4. Step 4: Simplify right side
    291,648x = 63,394,522,490.88
  5. Step 5: Solve for x
    x = 63,394,522,490.88/291,648
  6. Step 6: Final answer
    x = 217,366.56

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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.