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Finding the Fourth Proportional to 291,712.69, 402,563.42 and 157,576.69

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Solution

The fourth proportional to 291,712.69, 402,563.42 and 157,576.69 is: 217,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,712.69 : 402,563.42 = 157,576.69 : x
  2. Step 2: Convert to fraction form
    291,712.69/402,563.42 = 157,576.69/x
  3. Step 3: Cross multiply
    291,712.69x = 402,563.42 × 157,576.69
  4. Step 4: Simplify right side
    291,712.69x = 63,434,611,544.91
  5. Step 5: Solve for x
    x = 63,434,611,544.91/291,712.69
  6. Step 6: Final answer
    x = 217,455.78

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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.