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Finding the Fourth Proportional to 557,769.75, 769,706.22 and 316,130.39

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Solution

The fourth proportional to 557,769.75, 769,706.22 and 316,130.39 is: 436,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,769.75 : 769,706.22 = 316,130.39 : x
  2. Step 2: Convert to fraction form
    557,769.75/769,706.22 = 316,130.39/x
  3. Step 3: Cross multiply
    557,769.75x = 769,706.22 × 316,130.39
  4. Step 4: Simplify right side
    557,769.75x = 243,327,531,177.86
  5. Step 5: Solve for x
    x = 243,327,531,177.86/557,769.75
  6. Step 6: Final answer
    x = 436,250.86

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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.