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Finding the Fourth Proportional to 313,856.64, 470,780.90 and 77,201.37

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Solution

The fourth proportional to 313,856.64, 470,780.90 and 77,201.37 is: 115,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,856.64 : 470,780.90 = 77,201.37 : x
  2. Step 2: Convert to fraction form
    313,856.64/470,780.90 = 77,201.37/x
  3. Step 3: Cross multiply
    313,856.64x = 470,780.90 × 77,201.37
  4. Step 4: Simplify right side
    313,856.64x = 36,344,930,449.83
  5. Step 5: Solve for x
    x = 36,344,930,449.83/313,856.64
  6. Step 6: Final answer
    x = 115,801.06

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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.