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Finding the Fourth Proportional to 313,826.71, 470,562.87 and 287,047.07

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Solution

The fourth proportional to 313,826.71, 470,562.87 and 287,047.07 is: 430,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,826.71 : 470,562.87 = 287,047.07 : x
  2. Step 2: Convert to fraction form
    313,826.71/470,562.87 = 287,047.07/x
  3. Step 3: Cross multiply
    313,826.71x = 470,562.87 × 287,047.07
  4. Step 4: Simplify right side
    313,826.71x = 135,073,690,731.48
  5. Step 5: Solve for x
    x = 135,073,690,731.48/313,826.71
  6. Step 6: Final answer
    x = 430,408.53

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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.