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Finding the Fourth Proportional to 291,029.98, 401,615.43 and 170,242.78

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Solution

The fourth proportional to 291,029.98, 401,615.43 and 170,242.78 is: 234,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,029.98 : 401,615.43 = 170,242.78 : x
  2. Step 2: Convert to fraction form
    291,029.98/401,615.43 = 170,242.78/x
  3. Step 3: Cross multiply
    291,029.98x = 401,615.43 × 170,242.78
  4. Step 4: Simplify right side
    291,029.98x = 68,372,127,294.10
  5. Step 5: Solve for x
    x = 68,372,127,294.10/291,029.98
  6. Step 6: Final answer
    x = 234,931.56

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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.