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Finding the Fourth Proportional to 453,903.10, 680,854.65 and 419,688.70

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Solution

The fourth proportional to 453,903.10, 680,854.65 and 419,688.70 is: 629,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,903.10 : 680,854.65 = 419,688.70 : x
  2. Step 2: Convert to fraction form
    453,903.10/680,854.65 = 419,688.70/x
  3. Step 3: Cross multiply
    453,903.10x = 680,854.65 × 419,688.70
  4. Step 4: Simplify right side
    453,903.10x = 285,747,002,947.46
  5. Step 5: Solve for x
    x = 285,747,002,947.46/453,903.10
  6. Step 6: Final answer
    x = 629,533.05

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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.