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Finding the Fourth Proportional to 513,632.64, 770,414.40 and 181,203.84

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Solution

The fourth proportional to 513,632.64, 770,414.40 and 181,203.84 is: 271,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,632.64 : 770,414.40 = 181,203.84 : x
  2. Step 2: Convert to fraction form
    513,632.64/770,414.40 = 181,203.84/x
  3. Step 3: Cross multiply
    513,632.64x = 770,414.40 × 181,203.84
  4. Step 4: Simplify right side
    513,632.64x = 139,602,047,671.30
  5. Step 5: Solve for x
    x = 139,602,047,671.30/513,632.64
  6. Step 6: Final answer
    x = 271,793.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.