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Finding the Fourth Proportional to 312,776.55, 431,632.56 and 169,537.16

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Solution

The fourth proportional to 312,776.55, 431,632.56 and 169,537.16 is: 233,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,776.55 : 431,632.56 = 169,537.16 : x
  2. Step 2: Convert to fraction form
    312,776.55/431,632.56 = 169,537.16/x
  3. Step 3: Cross multiply
    312,776.55x = 431,632.56 × 169,537.16
  4. Step 4: Simplify right side
    312,776.55x = 73,177,756,227.77
  5. Step 5: Solve for x
    x = 73,177,756,227.77/312,776.55
  6. Step 6: Final answer
    x = 233,961.77

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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.