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Finding the Fourth Proportional to 409,487.55, 565,093.35 and 228,195.51

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Solution

The fourth proportional to 409,487.55, 565,093.35 and 228,195.51 is: 314,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,487.55 : 565,093.35 = 228,195.51 : x
  2. Step 2: Convert to fraction form
    409,487.55/565,093.35 = 228,195.51/x
  3. Step 3: Cross multiply
    409,487.55x = 565,093.35 × 228,195.51
  4. Step 4: Simplify right side
    409,487.55x = 128,951,765,200.86
  5. Step 5: Solve for x
    x = 128,951,765,200.86/409,487.55
  6. Step 6: Final answer
    x = 314,910.10

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1.5x scale

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.