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Finding the Fourth Proportional to 409,978.95, 565,771.80 and 228,686.19

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Solution

The fourth proportional to 409,978.95, 565,771.80 and 228,686.19 is: 315,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,978.95 : 565,771.80 = 228,686.19 : x
  2. Step 2: Convert to fraction form
    409,978.95/565,771.80 = 228,686.19/x
  3. Step 3: Cross multiply
    409,978.95x = 565,771.80 × 228,686.19
  4. Step 4: Simplify right side
    409,978.95x = 129,384,197,351.44
  5. Step 5: Solve for x
    x = 129,384,197,351.44/409,978.95
  6. Step 6: Final answer
    x = 315,587.42

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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.