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Finding the Fourth Proportional to 313,670.90, 432,859.61 and 170,431.97

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Solution

The fourth proportional to 313,670.90, 432,859.61 and 170,431.97 is: 235,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,670.90 : 432,859.61 = 170,431.97 : x
  2. Step 2: Convert to fraction form
    313,670.90/432,859.61 = 170,431.97/x
  3. Step 3: Cross multiply
    313,670.90x = 432,859.61 × 170,431.97
  4. Step 4: Simplify right side
    313,670.90x = 73,773,117,573.96
  5. Step 5: Solve for x
    x = 73,773,117,573.96/313,670.90
  6. Step 6: Final answer
    x = 235,192.74

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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.