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Finding the Fourth Proportional to 557,693.76, 769,554.93 and 315,924.57

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Solution

The fourth proportional to 557,693.76, 769,554.93 and 315,924.57 is: 435,940.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,693.76 : 769,554.93 = 315,924.57 : x
  2. Step 2: Convert to fraction form
    557,693.76/769,554.93 = 315,924.57/x
  3. Step 3: Cross multiply
    557,693.76x = 769,554.93 × 315,924.57
  4. Step 4: Simplify right side
    557,693.76x = 243,121,310,351.63
  5. Step 5: Solve for x
    x = 243,121,310,351.63/557,693.76
  6. Step 6: Final answer
    x = 435,940.52

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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.