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Finding the Fourth Proportional to 291,571.86, 402,231.65 and 170,638.26

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Solution

The fourth proportional to 291,571.86, 402,231.65 and 170,638.26 is: 235,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,571.86 : 402,231.65 = 170,638.26 : x
  2. Step 2: Convert to fraction form
    291,571.86/402,231.65 = 170,638.26/x
  3. Step 3: Cross multiply
    291,571.86x = 402,231.65 × 170,638.26
  4. Step 4: Simplify right side
    291,571.86x = 68,636,108,872.93
  5. Step 5: Solve for x
    x = 68,636,108,872.93/291,571.86
  6. Step 6: Final answer
    x = 235,400.32

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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.