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Finding the Fourth Proportional to 420,952.72, 631,424.28 and 121,423.42

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Solution

The fourth proportional to 420,952.72, 631,424.28 and 121,423.42 is: 182,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,952.72 : 631,424.28 = 121,423.42 : x
  2. Step 2: Convert to fraction form
    420,952.72/631,424.28 = 121,423.42/x
  3. Step 3: Cross multiply
    420,952.72x = 631,424.28 × 121,423.42
  4. Step 4: Simplify right side
    420,952.72x = 76,669,695,548.64
  5. Step 5: Solve for x
    x = 76,669,695,548.64/420,952.72
  6. Step 6: Final answer
    x = 182,133.75

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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.