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Finding the Fourth Proportional to 409,560.45, 565,124.90 and 228,232.64

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Solution

The fourth proportional to 409,560.45, 565,124.90 and 228,232.64 is: 314,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,560.45 : 565,124.90 = 228,232.64 : x
  2. Step 2: Convert to fraction form
    409,560.45/565,124.90 = 228,232.64/x
  3. Step 3: Cross multiply
    409,560.45x = 565,124.90 × 228,232.64
  4. Step 4: Simplify right side
    409,560.45x = 128,979,943,889.95
  5. Step 5: Solve for x
    x = 128,979,943,889.95/409,560.45
  6. Step 6: Final answer
    x = 314,922.85

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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.