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Finding the Fourth Proportional to 431,466.24, 646,928.76 and 131,847.24

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Solution

The fourth proportional to 431,466.24, 646,928.76 and 131,847.24 is: 197,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,466.24 : 646,928.76 = 131,847.24 : x
  2. Step 2: Convert to fraction form
    431,466.24/646,928.76 = 131,847.24/x
  3. Step 3: Cross multiply
    431,466.24x = 646,928.76 × 131,847.24
  4. Step 4: Simplify right side
    431,466.24x = 85,295,771,482.62
  5. Step 5: Solve for x
    x = 85,295,771,482.62/431,466.24
  6. Step 6: Final answer
    x = 197,688.17

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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.