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Finding the Fourth Proportional to 431,168.70, 646,830.96 and 178,311.86

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Solution

The fourth proportional to 431,168.70, 646,830.96 and 178,311.86 is: 267,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,168.70 : 646,830.96 = 178,311.86 : x
  2. Step 2: Convert to fraction form
    431,168.70/646,830.96 = 178,311.86/x
  3. Step 3: Cross multiply
    431,168.70x = 646,830.96 × 178,311.86
  4. Step 4: Simplify right side
    431,168.70x = 115,337,631,583.19
  5. Step 5: Solve for x
    x = 115,337,631,583.19/431,168.70
  6. Step 6: Final answer
    x = 267,500.01

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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.