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Finding the Fourth Proportional to 400,698.90, 552,977.69 and 219,418.47

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Solution

The fourth proportional to 400,698.90, 552,977.69 and 219,418.47 is: 302,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,698.90 : 552,977.69 = 219,418.47 : x
  2. Step 2: Convert to fraction form
    400,698.90/552,977.69 = 219,418.47/x
  3. Step 3: Cross multiply
    400,698.90x = 552,977.69 × 219,418.47
  4. Step 4: Simplify right side
    400,698.90x = 121,333,517,586.84
  5. Step 5: Solve for x
    x = 121,333,517,586.84/400,698.90
  6. Step 6: Final answer
    x = 302,804.72

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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.