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Finding the Fourth Proportional to 557,268.80, 769,033.89 and 315,598.41

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Solution

The fourth proportional to 557,268.80, 769,033.89 and 315,598.41 is: 435,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,268.80 : 769,033.89 = 315,598.41 : x
  2. Step 2: Convert to fraction form
    557,268.80/769,033.89 = 315,598.41/x
  3. Step 3: Cross multiply
    557,268.80x = 769,033.89 × 315,598.41
  4. Step 4: Simplify right side
    557,268.80x = 242,705,872,920.12
  5. Step 5: Solve for x
    x = 242,705,872,920.12/557,268.80
  6. Step 6: Final answer
    x = 435,527.48

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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.