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Finding the Fourth Proportional to 312,726.42, 431,563.21 and 169,486.43

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Solution

The fourth proportional to 312,726.42, 431,563.21 and 169,486.43 is: 233,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,726.42 : 431,563.21 = 169,486.43 : x
  2. Step 2: Convert to fraction form
    312,726.42/431,563.21 = 169,486.43/x
  3. Step 3: Cross multiply
    312,726.42x = 431,563.21 × 169,486.43
  4. Step 4: Simplify right side
    312,726.42x = 73,144,105,200.71
  5. Step 5: Solve for x
    x = 73,144,105,200.71/312,726.42
  6. Step 6: Final answer
    x = 233,891.67

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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.