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Finding the Fourth Proportional to 313,694.37, 470,543.13 and 77,037.12

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Solution

The fourth proportional to 313,694.37, 470,543.13 and 77,037.12 is: 115,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,694.37 : 470,543.13 = 77,037.12 : x
  2. Step 2: Convert to fraction form
    313,694.37/470,543.13 = 77,037.12/x
  3. Step 3: Cross multiply
    313,694.37x = 470,543.13 × 77,037.12
  4. Step 4: Simplify right side
    313,694.37x = 36,249,287,570.99
  5. Step 5: Solve for x
    x = 36,249,287,570.99/313,694.37
  6. Step 6: Final answer
    x = 115,556.07

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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.