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Finding the Fourth Proportional to 422,428.36, 633,643.84 and 106,885.20

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Solution

The fourth proportional to 422,428.36, 633,643.84 and 106,885.20 is: 160,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,428.36 : 633,643.84 = 106,885.20 : x
  2. Step 2: Convert to fraction form
    422,428.36/633,643.84 = 106,885.20/x
  3. Step 3: Cross multiply
    422,428.36x = 633,643.84 × 106,885.20
  4. Step 4: Simplify right side
    422,428.36x = 67,727,148,567.17
  5. Step 5: Solve for x
    x = 67,727,148,567.17/422,428.36
  6. Step 6: Final answer
    x = 160,328.13

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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.