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Finding the Fourth Proportional to 420,958.49, 631,443.13 and 140,475.74

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Solution

The fourth proportional to 420,958.49, 631,443.13 and 140,475.74 is: 210,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,958.49 : 631,443.13 = 140,475.74 : x
  2. Step 2: Convert to fraction form
    420,958.49/631,443.13 = 140,475.74/x
  3. Step 3: Cross multiply
    420,958.49x = 631,443.13 × 140,475.74
  4. Step 4: Simplify right side
    420,958.49x = 88,702,437,446.26
  5. Step 5: Solve for x
    x = 88,702,437,446.26/420,958.49
  6. Step 6: Final answer
    x = 210,715.40

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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.