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Finding the Fourth Proportional to 409,565.54, 565,203.06 and 228,288.96

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Solution

The fourth proportional to 409,565.54, 565,203.06 and 228,288.96 is: 315,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,565.54 : 565,203.06 = 228,288.96 : x
  2. Step 2: Convert to fraction form
    409,565.54/565,203.06 = 228,288.96/x
  3. Step 3: Cross multiply
    409,565.54x = 565,203.06 × 228,288.96
  4. Step 4: Simplify right side
    409,565.54x = 129,029,618,756.22
  5. Step 5: Solve for x
    x = 129,029,618,756.22/409,565.54
  6. Step 6: Final answer
    x = 315,040.23

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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.