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Finding the Fourth Proportional to 257,807.40, 385,617.60 and 231,344.70

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Solution

The fourth proportional to 257,807.40, 385,617.60 and 231,344.70 is: 346,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,807.40 : 385,617.60 = 231,344.70 : x
  2. Step 2: Convert to fraction form
    257,807.40/385,617.60 = 231,344.70/x
  3. Step 3: Cross multiply
    257,807.40x = 385,617.60 × 231,344.70
  4. Step 4: Simplify right side
    257,807.40x = 89,210,587,986.72
  5. Step 5: Solve for x
    x = 89,210,587,986.72/257,807.40
  6. Step 6: Final answer
    x = 346,035.79

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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.