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Finding the Fourth Proportional to 409,403.62, 564,960.90 and 228,110.88

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Solution

The fourth proportional to 409,403.62, 564,960.90 and 228,110.88 is: 314,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,403.62 : 564,960.90 = 228,110.88 : x
  2. Step 2: Convert to fraction form
    409,403.62/564,960.90 = 228,110.88/x
  3. Step 3: Cross multiply
    409,403.62x = 564,960.90 × 228,110.88
  4. Step 4: Simplify right side
    409,403.62x = 128,873,728,064.59
  5. Step 5: Solve for x
    x = 128,873,728,064.59/409,403.62
  6. Step 6: Final answer
    x = 314,784.05

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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.