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Finding the Fourth Proportional to 280,272.64, 420,472.34 and 93,291.52

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Solution

The fourth proportional to 280,272.64, 420,472.34 and 93,291.52 is: 139,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,272.64 : 420,472.34 = 93,291.52 : x
  2. Step 2: Convert to fraction form
    280,272.64/420,472.34 = 93,291.52/x
  3. Step 3: Cross multiply
    280,272.64x = 420,472.34 × 93,291.52
  4. Step 4: Simplify right side
    280,272.64x = 39,226,503,716.56
  5. Step 5: Solve for x
    x = 39,226,503,716.56/280,272.64
  6. Step 6: Final answer
    x = 139,958.38

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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.