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Finding the Fourth Proportional to 420,854.94, 631,284.12 and 105,310.98

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Solution

The fourth proportional to 420,854.94, 631,284.12 and 105,310.98 is: 157,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,854.94 : 631,284.12 = 105,310.98 : x
  2. Step 2: Convert to fraction form
    420,854.94/631,284.12 = 105,310.98/x
  3. Step 3: Cross multiply
    420,854.94x = 631,284.12 × 105,310.98
  4. Step 4: Simplify right side
    420,854.94x = 66,481,149,335.64
  5. Step 5: Solve for x
    x = 66,481,149,335.64/420,854.94
  6. Step 6: Final answer
    x = 157,966.90

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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.