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Finding the Fourth Proportional to 427,825.26, 641,689.29 and 112,306.77

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Solution

The fourth proportional to 427,825.26, 641,689.29 and 112,306.77 is: 168,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,825.26 : 641,689.29 = 112,306.77 : x
  2. Step 2: Convert to fraction form
    427,825.26/641,689.29 = 112,306.77/x
  3. Step 3: Cross multiply
    427,825.26x = 641,689.29 × 112,306.77
  4. Step 4: Simplify right side
    427,825.26x = 72,066,051,503.49
  5. Step 5: Solve for x
    x = 72,066,051,503.49/427,825.26
  6. Step 6: Final answer
    x = 168,447.40

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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.