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Finding the Fourth Proportional to 410,064.36, 565,889.67 and 228,771.78

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Solution

The fourth proportional to 410,064.36, 565,889.67 and 228,771.78 is: 315,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,064.36 : 565,889.67 = 228,771.78 : x
  2. Step 2: Convert to fraction form
    410,064.36/565,889.67 = 228,771.78/x
  3. Step 3: Cross multiply
    410,064.36x = 565,889.67 × 228,771.78
  4. Step 4: Simplify right side
    410,064.36x = 129,459,587,089.51
  5. Step 5: Solve for x
    x = 129,459,587,089.51/410,064.36
  6. Step 6: Final answer
    x = 315,705.53

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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.