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Finding the Fourth Proportional to 291,712.31, 402,563.00 and 157,576.31

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Solution

The fourth proportional to 291,712.31, 402,563.00 and 157,576.31 is: 217,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,712.31 : 402,563.00 = 157,576.31 : x
  2. Step 2: Convert to fraction form
    291,712.31/402,563.00 = 157,576.31/x
  3. Step 3: Cross multiply
    291,712.31x = 402,563.00 × 157,576.31
  4. Step 4: Simplify right side
    291,712.31x = 63,434,393,482.88
  5. Step 5: Solve for x
    x = 63,434,393,482.88/291,712.31
  6. Step 6: Final answer
    x = 217,455.32

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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.