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Finding the Fourth Proportional to 313,765.43, 432,999.64 and 170,525.48

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Solution

The fourth proportional to 313,765.43, 432,999.64 and 170,525.48 is: 235,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,765.43 : 432,999.64 = 170,525.48 : x
  2. Step 2: Convert to fraction form
    313,765.43/432,999.64 = 170,525.48/x
  3. Step 3: Cross multiply
    313,765.43x = 432,999.64 × 170,525.48
  4. Step 4: Simplify right side
    313,765.43x = 73,837,471,450.83
  5. Step 5: Solve for x
    x = 73,837,471,450.83/313,765.43
  6. Step 6: Final answer
    x = 235,326.98

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1.5x scale

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.