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Finding the Fourth Proportional to 400,993.48, 553,384.77 and 219,704.86

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Solution

The fourth proportional to 400,993.48, 553,384.77 and 219,704.86 is: 303,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,993.48 : 553,384.77 = 219,704.86 : x
  2. Step 2: Convert to fraction form
    400,993.48/553,384.77 = 219,704.86/x
  3. Step 3: Cross multiply
    400,993.48x = 553,384.77 × 219,704.86
  4. Step 4: Simplify right side
    400,993.48x = 121,581,320,652.06
  5. Step 5: Solve for x
    x = 121,581,320,652.06/400,993.48
  6. Step 6: Final answer
    x = 303,200.25

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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.