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Finding the Fourth Proportional to 409,480.94, 565,076.03 and 228,188.88

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Solution

The fourth proportional to 409,480.94, 565,076.03 and 228,188.88 is: 314,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,480.94 : 565,076.03 = 228,188.88 : x
  2. Step 2: Convert to fraction form
    409,480.94/565,076.03 = 228,188.88/x
  3. Step 3: Cross multiply
    409,480.94x = 565,076.03 × 228,188.88
  4. Step 4: Simplify right side
    409,480.94x = 128,944,065,259.60
  5. Step 5: Solve for x
    x = 128,944,065,259.60/409,480.94
  6. Step 6: Final answer
    x = 314,896.38

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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.