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Finding the Fourth Proportional to 557,638.52, 769,538.43 and 315,920.52

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Solution

The fourth proportional to 557,638.52, 769,538.43 and 315,920.52 is: 435,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,638.52 : 769,538.43 = 315,920.52 : x
  2. Step 2: Convert to fraction form
    557,638.52/769,538.43 = 315,920.52/x
  3. Step 3: Cross multiply
    557,638.52x = 769,538.43 × 315,920.52
  4. Step 4: Simplify right side
    557,638.52x = 243,112,980,965.58
  5. Step 5: Solve for x
    x = 243,112,980,965.58/557,638.52
  6. Step 6: Final answer
    x = 435,968.78

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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.