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Finding the Fourth Proportional to 403,907.74, 557,385.36 and 220,147.90

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Solution

The fourth proportional to 403,907.74, 557,385.36 and 220,147.90 is: 303,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,907.74 : 557,385.36 = 220,147.90 : x
  2. Step 2: Convert to fraction form
    403,907.74/557,385.36 = 220,147.90/x
  3. Step 3: Cross multiply
    403,907.74x = 557,385.36 × 220,147.90
  4. Step 4: Simplify right side
    403,907.74x = 122,707,216,494.74
  5. Step 5: Solve for x
    x = 122,707,216,494.74/403,907.74
  6. Step 6: Final answer
    x = 303,800.11

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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.