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Finding the Fourth Proportional to 399,242, 550,953.96 and 220,395.28

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Solution

The fourth proportional to 399,242, 550,953.96 and 220,395.28 is: 304,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,242 : 550,953.96 = 220,395.28 : x
  2. Step 2: Convert to fraction form
    399,242/550,953.96 = 220,395.28/x
  3. Step 3: Cross multiply
    399,242x = 550,953.96 × 220,395.28
  4. Step 4: Simplify right side
    399,242x = 121,427,652,281.31
  5. Step 5: Solve for x
    x = 121,427,652,281.31/399,242
  6. Step 6: Final answer
    x = 304,145.49

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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.