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Finding the Fourth Proportional to 409,564.41, 565,201.51 and 228,287.83

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Solution

The fourth proportional to 409,564.41, 565,201.51 and 228,287.83 is: 315,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,564.41 : 565,201.51 = 228,287.83 : x
  2. Step 2: Convert to fraction form
    409,564.41/565,201.51 = 228,287.83/x
  3. Step 3: Cross multiply
    409,564.41x = 565,201.51 × 228,287.83
  4. Step 4: Simplify right side
    409,564.41x = 129,028,626,366.41
  5. Step 5: Solve for x
    x = 129,028,626,366.41/409,564.41
  6. Step 6: Final answer
    x = 315,038.67

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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.