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Finding the Fourth Proportional to 427,583.88, 641,597.12 and 310,223.88

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Solution

The fourth proportional to 427,583.88, 641,597.12 and 310,223.88 is: 465,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,583.88 : 641,597.12 = 310,223.88 : x
  2. Step 2: Convert to fraction form
    427,583.88/641,597.12 = 310,223.88/x
  3. Step 3: Cross multiply
    427,583.88x = 641,597.12 × 310,223.88
  4. Step 4: Simplify right side
    427,583.88x = 199,038,747,963.23
  5. Step 5: Solve for x
    x = 199,038,747,963.23/427,583.88
  6. Step 6: Final answer
    x = 465,496.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.