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Finding the Fourth Proportional to 409,629.84, 565,233.36 and 228,320.28

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Solution

The fourth proportional to 409,629.84, 565,233.36 and 228,320.28 is: 315,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,629.84 : 565,233.36 = 228,320.28 : x
  2. Step 2: Convert to fraction form
    409,629.84/565,233.36 = 228,320.28/x
  3. Step 3: Cross multiply
    409,629.84x = 565,233.36 × 228,320.28
  4. Step 4: Simplify right side
    409,629.84x = 129,054,239,020.54
  5. Step 5: Solve for x
    x = 129,054,239,020.54/409,629.84
  6. Step 6: Final answer
    x = 315,050.87

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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.