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Finding the Fourth Proportional to 557,693.01, 769,553.89 and 315,923.81

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Solution

The fourth proportional to 557,693.01, 769,553.89 and 315,923.81 is: 435,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,693.01 : 769,553.89 = 315,923.81 : x
  2. Step 2: Convert to fraction form
    557,693.01/769,553.89 = 315,923.81/x
  3. Step 3: Cross multiply
    557,693.01x = 769,553.89 × 315,923.81
  4. Step 4: Simplify right side
    557,693.01x = 243,120,392,291.54
  5. Step 5: Solve for x
    x = 243,120,392,291.54/557,693.01
  6. Step 6: Final answer
    x = 435,939.46

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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.