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Finding the Fourth Proportional to 409,134.27, 564,334.93 and 255,906.54

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Solution

The fourth proportional to 409,134.27, 564,334.93 and 255,906.54 is: 352,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,134.27 : 564,334.93 = 255,906.54 : x
  2. Step 2: Convert to fraction form
    409,134.27/564,334.93 = 255,906.54/x
  3. Step 3: Cross multiply
    409,134.27x = 564,334.93 × 255,906.54
  4. Step 4: Simplify right side
    409,134.27x = 144,416,999,657.33
  5. Step 5: Solve for x
    x = 144,416,999,657.33/409,134.27
  6. Step 6: Final answer
    x = 352,981.92

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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.