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Finding the Fourth Proportional to 400,532.95, 552,735.64 and 219,245.91

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Solution

The fourth proportional to 400,532.95, 552,735.64 and 219,245.91 is: 302,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,532.95 : 552,735.64 = 219,245.91 : x
  2. Step 2: Convert to fraction form
    400,532.95/552,735.64 = 219,245.91/x
  3. Step 3: Cross multiply
    400,532.95x = 552,735.64 × 219,245.91
  4. Step 4: Simplify right side
    400,532.95x = 121,185,028,381.23
  5. Step 5: Solve for x
    x = 121,185,028,381.23/400,532.95
  6. Step 6: Final answer
    x = 302,559.45

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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.