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Finding the Fourth Proportional to 409,435.46, 565,006.56 and 228,138.02

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Solution

The fourth proportional to 409,435.46, 565,006.56 and 228,138.02 is: 314,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,435.46 : 565,006.56 = 228,138.02 : x
  2. Step 2: Convert to fraction form
    409,435.46/565,006.56 = 228,138.02/x
  3. Step 3: Cross multiply
    409,435.46x = 565,006.56 × 228,138.02
  4. Step 4: Simplify right side
    409,435.46x = 128,899,477,885.41
  5. Step 5: Solve for x
    x = 128,899,477,885.41/409,435.46
  6. Step 6: Final answer
    x = 314,822.46

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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.