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Finding the Fourth Proportional to 493,546.70, 681,140.42 and 299,909.72

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Solution

The fourth proportional to 493,546.70, 681,140.42 and 299,909.72 is: 413,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,546.70 : 681,140.42 = 299,909.72 : x
  2. Step 2: Convert to fraction form
    493,546.70/681,140.42 = 299,909.72/x
  3. Step 3: Cross multiply
    493,546.70x = 681,140.42 × 299,909.72
  4. Step 4: Simplify right side
    493,546.70x = 204,280,627,737.63
  5. Step 5: Solve for x
    x = 204,280,627,737.63/493,546.70
  6. Step 6: Final answer
    x = 413,903.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.