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Finding the Fourth Proportional to 403,660, 557,068.08 and 224,812

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Solution

The fourth proportional to 403,660, 557,068.08 and 224,812 is: 310,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,660 : 557,068.08 = 224,812 : x
  2. Step 2: Convert to fraction form
    403,660/557,068.08 = 224,812/x
  3. Step 3: Cross multiply
    403,660x = 557,068.08 × 224,812
  4. Step 4: Simplify right side
    403,660x = 125,235,589,200.96
  5. Step 5: Solve for x
    x = 125,235,589,200.96/403,660
  6. Step 6: Final answer
    x = 310,250.18

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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.