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Finding the Fourth Proportional to 552,561.24, 762,578.81 and 310,829.40

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Solution

The fourth proportional to 552,561.24, 762,578.81 and 310,829.40 is: 428,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,561.24 : 762,578.81 = 310,829.40 : x
  2. Step 2: Convert to fraction form
    552,561.24/762,578.81 = 310,829.40/x
  3. Step 3: Cross multiply
    552,561.24x = 762,578.81 × 310,829.40
  4. Step 4: Simplify right side
    552,561.24x = 237,031,913,576.48
  5. Step 5: Solve for x
    x = 237,031,913,576.48/552,561.24
  6. Step 6: Final answer
    x = 428,969.49

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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.