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Finding the Fourth Proportional to 493,261.79, 680,815.01 and 289,378.20

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Solution

The fourth proportional to 493,261.79, 680,815.01 and 289,378.20 is: 399,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,261.79 : 680,815.01 = 289,378.20 : x
  2. Step 2: Convert to fraction form
    493,261.79/680,815.01 = 289,378.20/x
  3. Step 3: Cross multiply
    493,261.79x = 680,815.01 × 289,378.20
  4. Step 4: Simplify right side
    493,261.79x = 197,013,022,126.78
  5. Step 5: Solve for x
    x = 197,013,022,126.78/493,261.79
  6. Step 6: Final answer
    x = 399,408.64

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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.