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Finding the Fourth Proportional to 557,365.25, 769,164.24 and 315,647.88

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Solution

The fourth proportional to 557,365.25, 769,164.24 and 315,647.88 is: 435,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,365.25 : 769,164.24 = 315,647.88 : x
  2. Step 2: Convert to fraction form
    557,365.25/769,164.24 = 315,647.88/x
  3. Step 3: Cross multiply
    557,365.25x = 769,164.24 × 315,647.88
  4. Step 4: Simplify right side
    557,365.25x = 242,785,061,727.81
  5. Step 5: Solve for x
    x = 242,785,061,727.81/557,365.25
  6. Step 6: Final answer
    x = 435,594.19

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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.