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Finding the Fourth Proportional to 557,243.10, 769,004.42 and 315,519.21

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Solution

The fourth proportional to 557,243.10, 769,004.42 and 315,519.21 is: 435,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,243.10 : 769,004.42 = 315,519.21 : x
  2. Step 2: Convert to fraction form
    557,243.10/769,004.42 = 315,519.21/x
  3. Step 3: Cross multiply
    557,243.10x = 769,004.42 × 315,519.21
  4. Step 4: Simplify right side
    557,243.10x = 242,635,665,507.31
  5. Step 5: Solve for x
    x = 242,635,665,507.31/557,243.10
  6. Step 6: Final answer
    x = 435,421.57

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1.5x scale

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.