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Finding the Fourth Proportional to 313,755.36, 470,628.90 and 77,100.12

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Solution

The fourth proportional to 313,755.36, 470,628.90 and 77,100.12 is: 115,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,755.36 : 470,628.90 = 77,100.12 : x
  2. Step 2: Convert to fraction form
    313,755.36/470,628.90 = 77,100.12/x
  3. Step 3: Cross multiply
    313,755.36x = 470,628.90 × 77,100.12
  4. Step 4: Simplify right side
    313,755.36x = 36,285,544,665.47
  5. Step 5: Solve for x
    x = 36,285,544,665.47/313,755.36
  6. Step 6: Final answer
    x = 115,649.16

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1.5x scale

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.