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Finding the Fourth Proportional to 400,911.62, 553,256.41 and 219,623.30

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Solution

The fourth proportional to 400,911.62, 553,256.41 and 219,623.30 is: 303,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,911.62 : 553,256.41 = 219,623.30 : x
  2. Step 2: Convert to fraction form
    400,911.62/553,256.41 = 219,623.30/x
  3. Step 3: Cross multiply
    400,911.62x = 553,256.41 × 219,623.30
  4. Step 4: Simplify right side
    400,911.62x = 121,507,994,645.95
  5. Step 5: Solve for x
    x = 121,507,994,645.95/400,911.62
  6. Step 6: Final answer
    x = 303,079.25

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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.