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Finding the Fourth Proportional to 420,935.40, 630,965.70 and 231,103.80

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Solution

The fourth proportional to 420,935.40, 630,965.70 and 231,103.80 is: 346,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,935.40 : 630,965.70 = 231,103.80 : x
  2. Step 2: Convert to fraction form
    420,935.40/630,965.70 = 231,103.80/x
  3. Step 3: Cross multiply
    420,935.40x = 630,965.70 × 231,103.80
  4. Step 4: Simplify right side
    420,935.40x = 145,818,570,939.66
  5. Step 5: Solve for x
    x = 145,818,570,939.66/420,935.40
  6. Step 6: Final answer
    x = 346,415.56

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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.