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Finding the Fourth Proportional to 409,908.36, 565,676.64 and 228,632.16

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Solution

The fourth proportional to 409,908.36, 565,676.64 and 228,632.16 is: 315,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,908.36 : 565,676.64 = 228,632.16 : x
  2. Step 2: Convert to fraction form
    409,908.36/565,676.64 = 228,632.16/x
  3. Step 3: Cross multiply
    409,908.36x = 565,676.64 × 228,632.16
  4. Step 4: Simplify right side
    409,908.36x = 129,331,872,064.74
  5. Step 5: Solve for x
    x = 129,331,872,064.74/409,908.36
  6. Step 6: Final answer
    x = 315,514.11

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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.