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Finding the Fourth Proportional to 409,735.44, 565,437.78 and 228,459.24

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Solution

The fourth proportional to 409,735.44, 565,437.78 and 228,459.24 is: 315,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,735.44 : 565,437.78 = 228,459.24 : x
  2. Step 2: Convert to fraction form
    409,735.44/565,437.78 = 228,459.24/x
  3. Step 3: Cross multiply
    409,735.44x = 565,437.78 × 228,459.24
  4. Step 4: Simplify right side
    409,735.44x = 129,179,485,486.09
  5. Step 5: Solve for x
    x = 129,179,485,486.09/409,735.44
  6. Step 6: Final answer
    x = 315,275.35

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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.