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Finding the Fourth Proportional to 291,415.78, 402,182.58 and 170,549.86

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Solution

The fourth proportional to 291,415.78, 402,182.58 and 170,549.86 is: 235,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,415.78 : 402,182.58 = 170,549.86 : x
  2. Step 2: Convert to fraction form
    291,415.78/402,182.58 = 170,549.86/x
  3. Step 3: Cross multiply
    291,415.78x = 402,182.58 × 170,549.86
  4. Step 4: Simplify right side
    291,415.78x = 68,592,182,713.44
  5. Step 5: Solve for x
    x = 68,592,182,713.44/291,415.78
  6. Step 6: Final answer
    x = 235,375.66

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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.