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Finding the Fourth Proportional to 409,698.56, 565,386.36 and 228,422

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Solution

The fourth proportional to 409,698.56, 565,386.36 and 228,422 is: 315,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,698.56 : 565,386.36 = 228,422 : x
  2. Step 2: Convert to fraction form
    409,698.56/565,386.36 = 228,422/x
  3. Step 3: Cross multiply
    409,698.56x = 565,386.36 × 228,422
  4. Step 4: Simplify right side
    409,698.56x = 129,146,683,123.92
  5. Step 5: Solve for x
    x = 129,146,683,123.92/409,698.56
  6. Step 6: Final answer
    x = 315,223.67

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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.