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Finding the Fourth Proportional to 316,212.72, 436,475.16 and 208,878

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Solution

The fourth proportional to 316,212.72, 436,475.16 and 208,878 is: 288,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,212.72 : 436,475.16 = 208,878 : x
  2. Step 2: Convert to fraction form
    316,212.72/436,475.16 = 208,878/x
  3. Step 3: Cross multiply
    316,212.72x = 436,475.16 × 208,878
  4. Step 4: Simplify right side
    316,212.72x = 91,170,058,470.48
  5. Step 5: Solve for x
    x = 91,170,058,470.48/316,212.72
  6. Step 6: Final answer
    x = 288,318.76

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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.